{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8fcffcb7",
   "metadata": {
    "papermill": {
     "duration": 0.007008,
     "end_time": "2025-07-29T07:22:02.563751",
     "exception": false,
     "start_time": "2025-07-29T07:22:02.556743",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# 0. 环境与数据 / Environment and Data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b7f58c0c",
   "metadata": {
    "papermill": {
     "duration": 0.005506,
     "end_time": "2025-07-29T07:22:02.575272",
     "exception": false,
     "start_time": "2025-07-29T07:22:02.569766",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## 0.1 说明 / Description"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e6372b7",
   "metadata": {
    "papermill": {
     "duration": 0.00525,
     "end_time": "2025-07-29T07:22:02.586124",
     "exception": false,
     "start_time": "2025-07-29T07:22:02.580874",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "本 Notebook 在 Kaggle 平台运行。\n",
    "- Notebook 链接：[https://www.kaggle.com/code/yiquanxiao/cosmetics-e-commerce-eda-anomaly-analysis](https://www.kaggle.com/code/yiquanxiao/cosmetics-e-commerce-eda-anomaly-analysis)\n",
    "\n",
    "---\n",
    "\n",
    "This notebook runs on the Kaggle platform.\n",
    "- Notebook Link: [https://www.kaggle.com/code/yiquanxiao/cosmetics-e-commerce-eda-anomaly-analysis](https://www.kaggle.com/code/yiquanxiao/cosmetics-e-commerce-eda-anomaly-analysis)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2bce0992",
   "metadata": {
    "papermill": {
     "duration": 0.005161,
     "end_time": "2025-07-29T07:22:02.597661",
     "exception": false,
     "start_time": "2025-07-29T07:22:02.592500",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## 0.2 依赖 / Dependencies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a09bc634",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:22:02.609867Z",
     "iopub.status.busy": "2025-07-29T07:22:02.609565Z",
     "iopub.status.idle": "2025-07-29T07:22:06.420103Z",
     "shell.execute_reply": "2025-07-29T07:22:06.419401Z"
    },
    "papermill": {
     "duration": 3.818764,
     "end_time": "2025-07-29T07:22:06.421714",
     "exception": false,
     "start_time": "2025-07-29T07:22:02.602950",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.ticker as mtick\n",
    "import seaborn as sns\n",
    "from pathlib import Path"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb5b75d7",
   "metadata": {
    "papermill": {
     "duration": 0.005497,
     "end_time": "2025-07-29T07:22:06.433663",
     "exception": false,
     "start_time": "2025-07-29T07:22:06.428166",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# 1. 数据准备 / Data Preparation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dbf7866e",
   "metadata": {
    "papermill": {
     "duration": 0.00552,
     "end_time": "2025-07-29T07:22:06.444870",
     "exception": false,
     "start_time": "2025-07-29T07:22:06.439350",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## 1.1 读取与合并 / Load & Merge"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "1497c1c2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:22:06.457407Z",
     "iopub.status.busy": "2025-07-29T07:22:06.456948Z",
     "iopub.status.idle": "2025-07-29T07:26:51.272541Z",
     "shell.execute_reply": "2025-07-29T07:26:51.271427Z"
    },
    "papermill": {
     "duration": 284.829149,
     "end_time": "2025-07-29T07:26:51.279546",
     "exception": false,
     "start_time": "2025-07-29T07:22:06.450397",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "合并后数据量 / Total rows after concat: 20,692,840\n"
     ]
    }
   ],
   "source": [
    "# 1.1.1 批量读取 / Batch Load\n",
    "# 指定数据目录（根据实际路径调整）/ Adjust the path if needed\n",
    "data_path = Path(\"/kaggle/input/ecommerce-events-history-in-cosmetics-shop\")\n",
    "\n",
    "# 匹配 5 个 CSV 文件 / Match the five CSV files\n",
    "csv_files = {\n",
    "    \"2019-10\": \"2019-Oct.csv\", \n",
    "    \"2019-11\": \"2019-Nov.csv\", \n",
    "    \"2019-12\": \"2019-Dec.csv\", \n",
    "    \"2020-01\": \"2020-Jan.csv\", \n",
    "    \"2020-02\": \"2020-Feb.csv\"\n",
    "}\n",
    "files_path = {}\n",
    "for key, name in csv_files.items():\n",
    "    files_path[key] = data_path / name\n",
    "\n",
    "\n",
    "# 统一列类型 / Standardize dtypes before reading\n",
    "dtype_map = {\n",
    "    \"event_type\": \"category\",\n",
    "    \"product_id\": \"int64\",\n",
    "    \"category_id\": \"int64\",\n",
    "    \"category_code\": \"string\",\n",
    "    \"brand\": \"string\",\n",
    "    \"price\": \"float64\",\n",
    "    \"user_id\": \"int64\", \n",
    "}\n",
    "\n",
    "dfs = []\n",
    "for key, fp in files_path.items():\n",
    "    df = pd.read_csv(\n",
    "        fp,\n",
    "        dtype=dtype_map,\n",
    "        parse_dates=[\"event_time\"]   # 直接解析时间列 / parse datetime column\n",
    "    )\n",
    "    df[\"year_month\"] = key      # 标注来源文件 / track source file\n",
    "    dfs.append(df)\n",
    "\n",
    "\n",
    "# 1.1.2 纵向合并 / Vertical Concatenation\n",
    "df_raw = pd.concat(dfs, ignore_index=True)\n",
    "print(f\"合并后数据量 / Total rows after concat: {df_raw.shape[0]:,}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5bb699be",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:26:51.292841Z",
     "iopub.status.busy": "2025-07-29T07:26:51.292570Z",
     "iopub.status.idle": "2025-07-29T07:26:51.310005Z",
     "shell.execute_reply": "2025-07-29T07:26:51.309092Z"
    },
    "papermill": {
     "duration": 0.025815,
     "end_time": "2025-07-29T07:26:51.311330",
     "exception": false,
     "start_time": "2025-07-29T07:26:51.285515",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 20692840 entries, 0 to 20692839\n",
      "Data columns (total 10 columns):\n",
      " #   Column         Dtype              \n",
      "---  ------         -----              \n",
      " 0   event_time     datetime64[ns, UTC]\n",
      " 1   event_type     category           \n",
      " 2   product_id     int64              \n",
      " 3   category_id    int64              \n",
      " 4   category_code  string             \n",
      " 5   brand          string             \n",
      " 6   price          float64            \n",
      " 7   user_id        int64              \n",
      " 8   user_session   object             \n",
      " 9   year_month     object             \n",
      "dtypes: category(1), datetime64[ns, UTC](1), float64(1), int64(3), object(2), string(2)\n",
      "memory usage: 1.4+ GB\n"
     ]
    }
   ],
   "source": [
    "df_raw.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "eb39db39",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:26:51.324736Z",
     "iopub.status.busy": "2025-07-29T07:26:51.324449Z",
     "iopub.status.idle": "2025-07-29T07:26:51.343313Z",
     "shell.execute_reply": "2025-07-29T07:26:51.342652Z"
    },
    "papermill": {
     "duration": 0.026877,
     "end_time": "2025-07-29T07:26:51.344520",
     "exception": false,
     "start_time": "2025-07-29T07:26:51.317643",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>event_time</th>\n",
       "      <th>event_type</th>\n",
       "      <th>product_id</th>\n",
       "      <th>category_id</th>\n",
       "      <th>category_code</th>\n",
       "      <th>brand</th>\n",
       "      <th>price</th>\n",
       "      <th>user_id</th>\n",
       "      <th>user_session</th>\n",
       "      <th>year_month</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2019-10-01 00:00:00+00:00</td>\n",
       "      <td>cart</td>\n",
       "      <td>5773203</td>\n",
       "      <td>1487580005134238553</td>\n",
       "      <td>&lt;NA&gt;</td>\n",
       "      <td>runail</td>\n",
       "      <td>2.62</td>\n",
       "      <td>463240011</td>\n",
       "      <td>26dd6e6e-4dac-4778-8d2c-92e149dab885</td>\n",
       "      <td>2019-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2019-10-01 00:00:03+00:00</td>\n",
       "      <td>cart</td>\n",
       "      <td>5773353</td>\n",
       "      <td>1487580005134238553</td>\n",
       "      <td>&lt;NA&gt;</td>\n",
       "      <td>runail</td>\n",
       "      <td>2.62</td>\n",
       "      <td>463240011</td>\n",
       "      <td>26dd6e6e-4dac-4778-8d2c-92e149dab885</td>\n",
       "      <td>2019-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2019-10-01 00:00:07+00:00</td>\n",
       "      <td>cart</td>\n",
       "      <td>5881589</td>\n",
       "      <td>2151191071051219817</td>\n",
       "      <td>&lt;NA&gt;</td>\n",
       "      <td>lovely</td>\n",
       "      <td>13.48</td>\n",
       "      <td>429681830</td>\n",
       "      <td>49e8d843-adf3-428b-a2c3-fe8bc6a307c9</td>\n",
       "      <td>2019-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2019-10-01 00:00:07+00:00</td>\n",
       "      <td>cart</td>\n",
       "      <td>5723490</td>\n",
       "      <td>1487580005134238553</td>\n",
       "      <td>&lt;NA&gt;</td>\n",
       "      <td>runail</td>\n",
       "      <td>2.62</td>\n",
       "      <td>463240011</td>\n",
       "      <td>26dd6e6e-4dac-4778-8d2c-92e149dab885</td>\n",
       "      <td>2019-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2019-10-01 00:00:15+00:00</td>\n",
       "      <td>cart</td>\n",
       "      <td>5881449</td>\n",
       "      <td>1487580013522845895</td>\n",
       "      <td>&lt;NA&gt;</td>\n",
       "      <td>lovely</td>\n",
       "      <td>0.56</td>\n",
       "      <td>429681830</td>\n",
       "      <td>49e8d843-adf3-428b-a2c3-fe8bc6a307c9</td>\n",
       "      <td>2019-10</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 event_time event_type  product_id          category_id  \\\n",
       "0 2019-10-01 00:00:00+00:00       cart     5773203  1487580005134238553   \n",
       "1 2019-10-01 00:00:03+00:00       cart     5773353  1487580005134238553   \n",
       "2 2019-10-01 00:00:07+00:00       cart     5881589  2151191071051219817   \n",
       "3 2019-10-01 00:00:07+00:00       cart     5723490  1487580005134238553   \n",
       "4 2019-10-01 00:00:15+00:00       cart     5881449  1487580013522845895   \n",
       "\n",
       "  category_code   brand  price    user_id  \\\n",
       "0          <NA>  runail   2.62  463240011   \n",
       "1          <NA>  runail   2.62  463240011   \n",
       "2          <NA>  lovely  13.48  429681830   \n",
       "3          <NA>  runail   2.62  463240011   \n",
       "4          <NA>  lovely   0.56  429681830   \n",
       "\n",
       "                           user_session year_month  \n",
       "0  26dd6e6e-4dac-4778-8d2c-92e149dab885    2019-10  \n",
       "1  26dd6e6e-4dac-4778-8d2c-92e149dab885    2019-10  \n",
       "2  49e8d843-adf3-428b-a2c3-fe8bc6a307c9    2019-10  \n",
       "3  26dd6e6e-4dac-4778-8d2c-92e149dab885    2019-10  \n",
       "4  49e8d843-adf3-428b-a2c3-fe8bc6a307c9    2019-10  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_raw.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a4e44133",
   "metadata": {
    "papermill": {
     "duration": 0.005675,
     "end_time": "2025-07-29T07:26:51.356404",
     "exception": false,
     "start_time": "2025-07-29T07:26:51.350729",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## 1.2 数据清洗 / Data Cleaning"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a95595e0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:26:51.369100Z",
     "iopub.status.busy": "2025-07-29T07:26:51.368818Z",
     "iopub.status.idle": "2025-07-29T07:27:00.680371Z",
     "shell.execute_reply": "2025-07-29T07:27:00.679691Z"
    },
    "papermill": {
     "duration": 9.319572,
     "end_time": "2025-07-29T07:27:00.681635",
     "exception": false,
     "start_time": "2025-07-29T07:26:51.362063",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "删除重复行 / Duplicates removed: 1,120,960\n"
     ]
    }
   ],
   "source": [
    "# === 1.2.1 重复值检查 / Duplicates ===========================================\n",
    "dedup_keys = [\"event_time\", \"user_id\", \"product_id\", \"event_type\"]\n",
    "before_dupes = df_raw.shape[0]\n",
    "df_raw.drop_duplicates(subset=dedup_keys, keep=\"first\", inplace=True)\n",
    "print(f\"删除重复行 / Duplicates removed: {before_dupes - df_raw.shape[0]:,}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "7cfade72",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:27:00.695940Z",
     "iopub.status.busy": "2025-07-29T07:27:00.695159Z",
     "iopub.status.idle": "2025-07-29T07:27:20.808959Z",
     "shell.execute_reply": "2025-07-29T07:27:20.807574Z"
    },
    "papermill": {
     "duration": 20.122621,
     "end_time": "2025-07-29T07:27:20.810730",
     "exception": false,
     "start_time": "2025-07-29T07:27:00.688109",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "category_code: fill 1786 missing values\n",
      "brand: fill 1786 missing values\n"
     ]
    }
   ],
   "source": [
    "# === 1.2.2 缺失值处理 / Missing Values ======================================\n",
    "# -----------------------------\n",
    "# 1) 构建映射字典 / Build mapping dicts\n",
    "# -----------------------------\n",
    "def build_mode_mapping(df, key_col, value_col):\n",
    "    \"\"\"\n",
    "    返回: {product_id: 最常出现的value}\n",
    "    Return a dict: product_id -> most frequent value for that column.\n",
    "    \"\"\"\n",
    "    tmp = (\n",
    "        df.dropna(subset=[key_col, value_col])\n",
    "          .groupby(key_col)[value_col]\n",
    "          .agg(lambda x: x.mode().iloc[0])  # 取众数 / take mode\n",
    "    )\n",
    "    return tmp.to_dict()\n",
    "\n",
    "prod2cat = build_mode_mapping(df_raw, \"product_id\", \"category_code\")\n",
    "prod2brand = build_mode_mapping(df_raw, \"product_id\", \"brand\")\n",
    "\n",
    "\n",
    "# -----------------------------\n",
    "# 2) 回填缺失 / Fill missing using mapping\n",
    "# -----------------------------\n",
    "# category_code\n",
    "mask_cat_na = df_raw[\"category_code\"].isna() | (df_raw[\"category_code\"] == \"\")\n",
    "before_fill_cat = mask_cat_na.sum()\n",
    "df_raw.loc[mask_cat_na, \"category_code\"] = (\n",
    "    df_raw.loc[mask_cat_na, \"product_id\"].map(prod2cat)\n",
    ")\n",
    "\n",
    "after_fill_cat = df_raw[\"category_code\"].isna().sum() + (df_raw[\"category_code\"] == \"\").sum()\n",
    "filled_cat = before_fill_cat - after_fill_cat\n",
    "print(f\"category_code: fill {filled_cat} missing values\")\n",
    "\n",
    "# brand\n",
    "mask_brand_na = df_raw[\"brand\"].isna() | (df_raw[\"brand\"] == \"\")\n",
    "before_fill_brand = mask_brand_na.sum()\n",
    "df_raw.loc[mask_brand_na, \"brand\"] = (\n",
    "    df_raw.loc[mask_brand_na, \"product_id\"].map(prod2brand)\n",
    ")\n",
    "\n",
    "after_fill_brand = df_raw[\"brand\"].isna().sum() + (df_raw[\"brand\"] == \"\").sum()\n",
    "filled_brand = before_fill_brand - after_fill_brand\n",
    "print(f\"brand: fill {filled_cat} missing values\")\n",
    "\n",
    "\n",
    "# -----------------------------\n",
    "# 3) 统一剩余缺失值 / Fill remaining NAs with fallback labels\n",
    "# -----------------------------\n",
    "df_raw[\"category_code\"] = df_raw[\"category_code\"].fillna(\"beauty_unknown\")\n",
    "df_raw[\"brand\"] = df_raw[\"brand\"].fillna(\"unknown_brand\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ccf624d3",
   "metadata": {
    "papermill": {
     "duration": 0.006047,
     "end_time": "2025-07-29T07:27:20.823581",
     "exception": false,
     "start_time": "2025-07-29T07:27:20.817534",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "[可选步骤] 移除时区信息 / [Optional Step] Remove timezone information (if present)\n",
    "\n",
    "在电商数据分析中，我们通常按天、周、月聚合数据（如 GMV、留存率等）。时区对这些周期性统计结果影响很小，特别是当数据源已经标准化到 UTC 时。因此，为了简化后续操作，我们可以去掉时区信息。\n",
    "\n",
    "In e-commerce data analysis, we usually aggregate data by day, week, or month (e.g., GMV, retention rates). Timezone differences have little impact on these metrics, especially if the data is already standardized to UTC. Therefore, we can safely remove the timezone information to simplify processing."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "cd05b067",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:27:20.905347Z",
     "iopub.status.busy": "2025-07-29T07:27:20.905012Z",
     "iopub.status.idle": "2025-07-29T07:27:20.921798Z",
     "shell.execute_reply": "2025-07-29T07:27:20.920703Z"
    },
    "papermill": {
     "duration": 0.025743,
     "end_time": "2025-07-29T07:27:20.923436",
     "exception": false,
     "start_time": "2025-07-29T07:27:20.897693",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "# Optional\n",
    "df['event_time'] = df['event_time'].dt.tz_localize(None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "60d7cff7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:27:20.937795Z",
     "iopub.status.busy": "2025-07-29T07:27:20.937489Z",
     "iopub.status.idle": "2025-07-29T07:27:25.768258Z",
     "shell.execute_reply": "2025-07-29T07:27:25.767205Z"
    },
    "papermill": {
     "duration": 4.839882,
     "end_time": "2025-07-29T07:27:25.770094",
     "exception": false,
     "start_time": "2025-07-29T07:27:20.930212",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_13/3471177408.py:5: UserWarning: Converting to PeriodArray/Index representation will drop timezone information.\n",
      "  df_raw[\"event_month\"] = df_raw[\"event_time\"].dt.to_period(\"M\")\n"
     ]
    }
   ],
   "source": [
    "# === 1.2.3 时间解析 & 衍生列 / Time Parsing & Derived Columns ================\n",
    "# event_date: 将时间截断到“天”，但保留 datetime64 dtype\n",
    "# Normalize to midnight, keep dtype = datetime64[ns].\n",
    "df_raw[\"event_date\"] = df_raw[\"event_time\"].dt.normalize()  \n",
    "df_raw[\"event_month\"] = df_raw[\"event_time\"].dt.to_period(\"M\")  \n",
    "df_raw[\"event_weekday\"] = df_raw[\"event_time\"].dt.day_name()\n",
    "df_raw[\"hour_bin\"] = df_raw[\"event_time\"].dt.hour // 4  # 6 个 4h 时段 / six 4‑h bins"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "3bd6496b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:27:25.784362Z",
     "iopub.status.busy": "2025-07-29T07:27:25.784053Z",
     "iopub.status.idle": "2025-07-29T07:27:29.924369Z",
     "shell.execute_reply": "2025-07-29T07:27:29.923208Z"
    },
    "papermill": {
     "duration": 4.149079,
     "end_time": "2025-07-29T07:27:29.925972",
     "exception": false,
     "start_time": "2025-07-29T07:27:25.776893",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "# === 1.2.4 行为编码 / Event Encoding ========================================\n",
    "event_dummies = pd.get_dummies(df_raw[\"event_type\"], prefix=\"is\")\n",
    "df_raw = pd.concat([df_raw, event_dummies], axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "7b65937b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:27:29.940702Z",
     "iopub.status.busy": "2025-07-29T07:27:29.940389Z",
     "iopub.status.idle": "2025-07-29T07:27:33.979500Z",
     "shell.execute_reply": "2025-07-29T07:27:33.978408Z"
    },
    "papermill": {
     "duration": 4.048148,
     "end_time": "2025-07-29T07:27:33.981141",
     "exception": false,
     "start_time": "2025-07-29T07:27:29.932993",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of negative price records: 124\n"
     ]
    }
   ],
   "source": [
    "# === 1.2.5 清理无效价格 / Remove Invalid Prices ==============================\n",
    "# 检查是否存在价格小于0的异常记录 / Check for abnormal records where price < 0\n",
    "negative_prices = df_raw[df_raw['price'] < 0]\n",
    "print(f\"Number of negative price records: {len(negative_prices)}\")\n",
    "\n",
    "# 删除价格为负的记录，并重置索引 / Remove records with negative price values and reset the index\n",
    "df_raw = df_raw[df_raw['price'] >= 0].reset_index(drop=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "edfe0592",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:27:33.996021Z",
     "iopub.status.busy": "2025-07-29T07:27:33.995719Z",
     "iopub.status.idle": "2025-07-29T07:27:34.000648Z",
     "shell.execute_reply": "2025-07-29T07:27:33.999158Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "papermill": {
     "duration": 0.014494,
     "end_time": "2025-07-29T07:27:34.002514",
     "exception": false,
     "start_time": "2025-07-29T07:27:33.988020",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "# # === 1.2.6 会话划分 / Sessionization ========================================\n",
    "# # Sort data for sessionization\n",
    "# df_raw.sort_values([\"user_id\", \"event_time\"], inplace=True)\n",
    "\n",
    "# # 计算与上一条记录的时间差 / time delta from previous event\n",
    "# df_raw[\"prev_time\"] = df_raw.groupby(\"user_id\")[\"event_time\"].shift()\n",
    "# df_raw[\"gaptime_min\"] = (\n",
    "#     (df_raw[\"event_time\"] - df_raw[\"prev_time\"]).dt.total_seconds() / 60\n",
    "# )\n",
    "\n",
    "# # 标记新会话：gap > 30 min 或用户第一次出现\n",
    "# df_raw[\"new_session_flag\"] = (\n",
    "#     (df_raw[\"gaptime_min\"].isna()) | (df_raw[\"gaptime_min\"] > 30)\n",
    "# ).astype(int)\n",
    "\n",
    "# # 累积新会话计数 / cumulative session counter\n",
    "# df_raw[\"session_idx\"] = df_raw.groupby(\"user_id\")[\"new_session_flag\"].cumsum()\n",
    "\n",
    "# # 生成 session_id / Create a unique session_id\n",
    "# df_raw[\"session_id\"] = (\n",
    "#     df_raw[\"user_id\"].astype(str) + \"_\" + df_raw[\"session_idx\"].astype(str)\n",
    "# )\n",
    "\n",
    "# # 清理临时列 / drop temp helpers\n",
    "# df_raw.drop(columns=[\"prev_time\", \"gaptime_min\", \"new_session_flag\"], inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "974b1d87",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:27:34.018530Z",
     "iopub.status.busy": "2025-07-29T07:27:34.018202Z",
     "iopub.status.idle": "2025-07-29T07:27:34.036970Z",
     "shell.execute_reply": "2025-07-29T07:27:34.036290Z"
    },
    "papermill": {
     "duration": 0.027398,
     "end_time": "2025-07-29T07:27:34.038344",
     "exception": false,
     "start_time": "2025-07-29T07:27:34.010946",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>event_time</th>\n",
       "      <th>event_type</th>\n",
       "      <th>product_id</th>\n",
       "      <th>category_id</th>\n",
       "      <th>category_code</th>\n",
       "      <th>brand</th>\n",
       "      <th>price</th>\n",
       "      <th>user_id</th>\n",
       "      <th>user_session</th>\n",
       "      <th>year_month</th>\n",
       "      <th>event_date</th>\n",
       "      <th>event_month</th>\n",
       "      <th>event_weekday</th>\n",
       "      <th>hour_bin</th>\n",
       "      <th>is_cart</th>\n",
       "      <th>is_purchase</th>\n",
       "      <th>is_remove_from_cart</th>\n",
       "      <th>is_view</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2019-10-01 00:00:00+00:00</td>\n",
       "      <td>cart</td>\n",
       "      <td>5773203</td>\n",
       "      <td>1487580005134238553</td>\n",
       "      <td>beauty_unknown</td>\n",
       "      <td>runail</td>\n",
       "      <td>2.62</td>\n",
       "      <td>463240011</td>\n",
       "      <td>26dd6e6e-4dac-4778-8d2c-92e149dab885</td>\n",
       "      <td>2019-10</td>\n",
       "      <td>2019-10-01 00:00:00+00:00</td>\n",
       "      <td>2019-10</td>\n",
       "      <td>Tuesday</td>\n",
       "      <td>0</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2019-10-01 00:00:03+00:00</td>\n",
       "      <td>cart</td>\n",
       "      <td>5773353</td>\n",
       "      <td>1487580005134238553</td>\n",
       "      <td>beauty_unknown</td>\n",
       "      <td>runail</td>\n",
       "      <td>2.62</td>\n",
       "      <td>463240011</td>\n",
       "      <td>26dd6e6e-4dac-4778-8d2c-92e149dab885</td>\n",
       "      <td>2019-10</td>\n",
       "      <td>2019-10-01 00:00:00+00:00</td>\n",
       "      <td>2019-10</td>\n",
       "      <td>Tuesday</td>\n",
       "      <td>0</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2019-10-01 00:00:07+00:00</td>\n",
       "      <td>cart</td>\n",
       "      <td>5881589</td>\n",
       "      <td>2151191071051219817</td>\n",
       "      <td>beauty_unknown</td>\n",
       "      <td>lovely</td>\n",
       "      <td>13.48</td>\n",
       "      <td>429681830</td>\n",
       "      <td>49e8d843-adf3-428b-a2c3-fe8bc6a307c9</td>\n",
       "      <td>2019-10</td>\n",
       "      <td>2019-10-01 00:00:00+00:00</td>\n",
       "      <td>2019-10</td>\n",
       "      <td>Tuesday</td>\n",
       "      <td>0</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2019-10-01 00:00:07+00:00</td>\n",
       "      <td>cart</td>\n",
       "      <td>5723490</td>\n",
       "      <td>1487580005134238553</td>\n",
       "      <td>beauty_unknown</td>\n",
       "      <td>runail</td>\n",
       "      <td>2.62</td>\n",
       "      <td>463240011</td>\n",
       "      <td>26dd6e6e-4dac-4778-8d2c-92e149dab885</td>\n",
       "      <td>2019-10</td>\n",
       "      <td>2019-10-01 00:00:00+00:00</td>\n",
       "      <td>2019-10</td>\n",
       "      <td>Tuesday</td>\n",
       "      <td>0</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2019-10-01 00:00:15+00:00</td>\n",
       "      <td>cart</td>\n",
       "      <td>5881449</td>\n",
       "      <td>1487580013522845895</td>\n",
       "      <td>beauty_unknown</td>\n",
       "      <td>lovely</td>\n",
       "      <td>0.56</td>\n",
       "      <td>429681830</td>\n",
       "      <td>49e8d843-adf3-428b-a2c3-fe8bc6a307c9</td>\n",
       "      <td>2019-10</td>\n",
       "      <td>2019-10-01 00:00:00+00:00</td>\n",
       "      <td>2019-10</td>\n",
       "      <td>Tuesday</td>\n",
       "      <td>0</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 event_time event_type  product_id          category_id  \\\n",
       "0 2019-10-01 00:00:00+00:00       cart     5773203  1487580005134238553   \n",
       "1 2019-10-01 00:00:03+00:00       cart     5773353  1487580005134238553   \n",
       "2 2019-10-01 00:00:07+00:00       cart     5881589  2151191071051219817   \n",
       "3 2019-10-01 00:00:07+00:00       cart     5723490  1487580005134238553   \n",
       "4 2019-10-01 00:00:15+00:00       cart     5881449  1487580013522845895   \n",
       "\n",
       "    category_code   brand  price    user_id  \\\n",
       "0  beauty_unknown  runail   2.62  463240011   \n",
       "1  beauty_unknown  runail   2.62  463240011   \n",
       "2  beauty_unknown  lovely  13.48  429681830   \n",
       "3  beauty_unknown  runail   2.62  463240011   \n",
       "4  beauty_unknown  lovely   0.56  429681830   \n",
       "\n",
       "                           user_session year_month                event_date  \\\n",
       "0  26dd6e6e-4dac-4778-8d2c-92e149dab885    2019-10 2019-10-01 00:00:00+00:00   \n",
       "1  26dd6e6e-4dac-4778-8d2c-92e149dab885    2019-10 2019-10-01 00:00:00+00:00   \n",
       "2  49e8d843-adf3-428b-a2c3-fe8bc6a307c9    2019-10 2019-10-01 00:00:00+00:00   \n",
       "3  26dd6e6e-4dac-4778-8d2c-92e149dab885    2019-10 2019-10-01 00:00:00+00:00   \n",
       "4  49e8d843-adf3-428b-a2c3-fe8bc6a307c9    2019-10 2019-10-01 00:00:00+00:00   \n",
       "\n",
       "  event_month event_weekday  hour_bin  is_cart  is_purchase  \\\n",
       "0     2019-10       Tuesday         0     True        False   \n",
       "1     2019-10       Tuesday         0     True        False   \n",
       "2     2019-10       Tuesday         0     True        False   \n",
       "3     2019-10       Tuesday         0     True        False   \n",
       "4     2019-10       Tuesday         0     True        False   \n",
       "\n",
       "   is_remove_from_cart  is_view  \n",
       "0                False    False  \n",
       "1                False    False  \n",
       "2                False    False  \n",
       "3                False    False  \n",
       "4                False    False  "
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_raw.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c255e8f9",
   "metadata": {
    "papermill": {
     "duration": 0.006282,
     "end_time": "2025-07-29T07:27:34.051718",
     "exception": false,
     "start_time": "2025-07-29T07:27:34.045436",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# 2. 探索性分析 / Exploratory Data Analysis (EDA)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "394df999",
   "metadata": {
    "papermill": {
     "duration": 0.006358,
     "end_time": "2025-07-29T07:27:34.064740",
     "exception": false,
     "start_time": "2025-07-29T07:27:34.058382",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## 2.1 基础指标 / Basic KPIs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "9d6d6d50",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:27:34.080333Z",
     "iopub.status.busy": "2025-07-29T07:27:34.080018Z",
     "iopub.status.idle": "2025-07-29T07:27:35.129057Z",
     "shell.execute_reply": "2025-07-29T07:27:35.128273Z"
    },
    "papermill": {
     "duration": 1.059372,
     "end_time": "2025-07-29T07:27:35.130720",
     "exception": false,
     "start_time": "2025-07-29T07:27:34.071348",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# === 2.1.1 日度指标 / Daily KPIs =======================================\n",
    "purchase = df_raw[df_raw['is_purchase'] == 1].copy()\n",
    "daily_kpi = purchase.groupby('event_date').agg(\n",
    "    gmv=('price', 'sum'),\n",
    "    orders=('is_purchase', 'sum'),\n",
    "    unique_buyers=('user_id', 'nunique')\n",
    ")\n",
    "daily_kpi['aov'] = daily_kpi['gmv'] / daily_kpi['orders']\n",
    "daily_kpi.sort_index(inplace=True)\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(daily_kpi.index, daily_kpi['gmv'], label='GMV')\n",
    "plt.plot(daily_kpi.index, daily_kpi['gmv'].rolling(7).mean(), label='GMV 7-Day MA')\n",
    "plt.title('Daily GMV & 7-Day Moving Average')\n",
    "plt.xlabel('Date')\n",
    "plt.ylabel('GMV')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "# === 2.1.2 月度指标 / Monthly KPIs ====================================\n",
    "monthly_kpi = purchase.groupby('event_month').agg(\n",
    "    gmv=('price', 'sum'),\n",
    "    orders=('is_purchase', 'sum'),\n",
    "    unique_buyers=('user_id', 'nunique')\n",
    ")\n",
    "monthly_kpi['aov'] = monthly_kpi['gmv'] / monthly_kpi['orders']\n",
    "monthly_kpi.sort_index(inplace=True)\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(monthly_kpi.index.astype(str), monthly_kpi['gmv'], marker='o')\n",
    "plt.title('Monthly GMV Trend')\n",
    "plt.xlabel('Month')\n",
    "plt.ylabel('GMV')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cf9c6ca6",
   "metadata": {
    "papermill": {
     "duration": 0.007717,
     "end_time": "2025-07-29T07:27:35.147043",
     "exception": false,
     "start_time": "2025-07-29T07:27:35.139326",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "### 洞察（GMV） / Insights (GMV)\n",
    "\n",
    "从日度和月度 GMV 趋势图来看，**2019 年 11 月 GMV 出现了异常暴涨，而 12 月则显著下滑**。这种大幅波动很可能是由于 11 月的**黑色星期五**活动刺激了用户的集中购买行为，导致 11 月 GMV 冲高，但 12 月消费需求被提前释放，因此 GMV 明显回落。\n",
    "\n",
    "从 2020 年 1 月和 2 月的走势看，GMV 已逐渐回升至 10 月的常规水平，说明 11 月促销高峰的后续影响正在消退。\n",
    "不过，这一假设仍需结合后续异动分析来进一步验证，以确认 GMV 波动是由活动因素驱动还是存在其他潜在异常。\n",
    "\n",
    "---\n",
    "\n",
    "The daily and monthly GMV trends indicate **a sharp surge in November 2019, followed by a steep decline in December**. This fluctuation is likely driven by **Black Friday promotions in November**, which concentrated customer purchases into that month, resulting in a significant drop in December as demand had already been pulled forward.\n",
    "By January and February 2020, GMV recovered to around the October baseline, suggesting that the impact of the November sales peak gradually faded.\n",
    "\n",
    "However, this hypothesis needs further validation through **anomaly analysis**, e.g., examining changes in traffic (views), conversion rates, and average order value (AOV) to confirm whether the spike and drop were purely due to promotions or if other anomalies were involved."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7c890c89",
   "metadata": {
    "papermill": {
     "duration": 0.007578,
     "end_time": "2025-07-29T07:27:35.162317",
     "exception": false,
     "start_time": "2025-07-29T07:27:35.154739",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## 2.2 品牌 & 价格分布 / Brand & Price Distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "b552777c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:27:35.179148Z",
     "iopub.status.busy": "2025-07-29T07:27:35.178843Z",
     "iopub.status.idle": "2025-07-29T07:27:38.915770Z",
     "shell.execute_reply": "2025-07-29T07:27:38.914627Z"
    },
    "papermill": {
     "duration": 3.747687,
     "end_time": "2025-07-29T07:27:38.917682",
     "exception": false,
     "start_time": "2025-07-29T07:27:35.169995",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.boxplot(df_raw['price'].dropna())\n",
    "plt.title('Price Distribution Boxplot')\n",
    "plt.ylabel('Price')\n",
    "plt.show()\n",
    "\n",
    "plt.figure()\n",
    "plt.hist(np.log1p(df_raw['price']), bins=50)\n",
    "plt.title('Log(Price) Histogram')\n",
    "plt.xlabel('log(1 + Price)')\n",
    "plt.ylabel('Frequency')\n",
    "plt.show()\n",
    "\n",
    "brand_gmv = purchase.groupby('brand')['price'].sum().sort_values(ascending=False).head(10)\n",
    "plt.figure()\n",
    "plt.pie(brand_gmv.values, labels=brand_gmv.index, autopct='%1.1f%%')\n",
    "plt.title('Top 10 Brands GMV Share')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "67eefc0f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:27:38.940086Z",
     "iopub.status.busy": "2025-07-29T07:27:38.939793Z",
     "iopub.status.idle": "2025-07-29T07:27:39.515111Z",
     "shell.execute_reply": "2025-07-29T07:27:39.514353Z"
    },
    "papermill": {
     "duration": 0.588599,
     "end_time": "2025-07-29T07:27:39.516673",
     "exception": false,
     "start_time": "2025-07-29T07:27:38.928074",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    1.957176e+07\n",
       "mean     8.736007e+00\n",
       "std      1.975049e+01\n",
       "min      0.000000e+00\n",
       "25%      2.110000e+00\n",
       "50%      4.110000e+00\n",
       "75%      7.140000e+00\n",
       "max      3.277800e+02\n",
       "Name: price, dtype: float64"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_raw['price'].describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb6934e1",
   "metadata": {
    "papermill": {
     "duration": 0.009963,
     "end_time": "2025-07-29T07:27:39.536533",
     "exception": false,
     "start_time": "2025-07-29T07:27:39.526570",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "### 洞察（价格） / Insights (Price)\n",
    "\n",
    "1. **价格分布高度右偏**\n",
    "   * 从原始数据来看，价格均值约为 **8.7**，但标准差较大（约 **19.8**），最大值高达 **327.8**，说明存在较少的高价商品拉高了均值。\n",
    "   * 使用 `log(1 + price)` 转换后，直方图呈现更接近正态的分布，主要集中在 `log(1+price) ∈ [1, 2]`（对应价格大约在 2.7 到 6.4 左右）。\n",
    "\n",
    "2. **主流商品价格区间较低**\n",
    "   * 从四分位数看，**75% 的商品价格低于 7.14**，而 50% 的商品价格低于 4.11，表明平台上主要商品集中在低价区间。\n",
    "  \n",
    "3. **需要关注高价商品对 GMV 的贡献**\n",
    "   * 虽然高价商品数量少，但可能对 GMV 有较大影响，后续可考虑 **分价位分析 GMV 和转化率**，看高价商品是否有更高的平均客单价贡献。\n",
    "  \n",
    "---\n",
    "\n",
    "1. **Right-Skewed Distribution**\n",
    "   * The price distribution is **highly right-skewed**. The mean price is around **8.7**, but the large standard deviation (**19.8**) and a maximum value of **327.8** indicate a small number of high-priced products skewing the average.\n",
    "   * After applying `log(1 + price)` transformation, the distribution becomes closer to normal, with most prices concentrated between `log(1+price) ∈ [1, 2]` (approx. 2.7–6.4 in original price).\n",
    "\n",
    "2. **Majority of products are low-priced**\n",
    "   * The 75th percentile is **7.14**, and the median price is **4.11**, indicating that **most products are in the low-price range**.\n",
    "\n",
    "3. **High-priced products may impact GMV disproportionately**\n",
    "   * While high-priced products are few, they may disproportionately influence GMV. A **price-segment analysis of GMV and conversion rates** is recommended to assess their contribution."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5ee61b4a",
   "metadata": {
    "papermill": {
     "duration": 0.010298,
     "end_time": "2025-07-29T07:27:39.556096",
     "exception": false,
     "start_time": "2025-07-29T07:27:39.545798",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## 2.3 Cohort 留存 / Cohort Retention"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "7044c1a1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:27:39.577072Z",
     "iopub.status.busy": "2025-07-29T07:27:39.576742Z",
     "iopub.status.idle": "2025-07-29T07:27:39.580947Z",
     "shell.execute_reply": "2025-07-29T07:27:39.580172Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "papermill": {
     "duration": 0.016365,
     "end_time": "2025-07-29T07:27:39.582621",
     "exception": false,
     "start_time": "2025-07-29T07:27:39.566256",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "# first_purchase = purchase.groupby('user_id')['event_date'].min().apply(lambda x: x.to_period('M'))\n",
    "# purchase = purchase.assign(cohort_month=purchase['user_id'].map(first_purchase))\n",
    "# purchase = purchase.assign(purchase_month=purchase['event_date'].apply(lambda x: x.to_period('M')))\n",
    "# cohort_counts = purchase.groupby(['cohort_month', 'purchase_month'])['user_id'].nunique().unstack(fill_value=0)\n",
    "# cohort_sizes = cohort_counts.iloc[:, 0:].apply(lambda row: row[row.index == row.name].values[0], axis=1)\n",
    "# retention = cohort_counts.div(cohort_sizes, axis=0)\n",
    "\n",
    "\n",
    "# plt.figure()\n",
    "# plt.imshow(retention, aspect='auto')\n",
    "# plt.title('Cohort Retention Rates')\n",
    "# plt.xlabel('Months Since First Purchase')\n",
    "# plt.ylabel('Cohort Month')\n",
    "# plt.xticks(range(retention.shape[1]), labels=range(retention.shape[1]))\n",
    "# plt.yticks(range(retention.shape[0]), labels=retention.index.astype(str))\n",
    "# plt.colorbar(label='Retention Rate')\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "816204e4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:27:39.603166Z",
     "iopub.status.busy": "2025-07-29T07:27:39.602854Z",
     "iopub.status.idle": "2025-07-29T07:27:43.616743Z",
     "shell.execute_reply": "2025-07-29T07:27:43.615298Z"
    },
    "papermill": {
     "duration": 4.026058,
     "end_time": "2025-07-29T07:27:43.618470",
     "exception": false,
     "start_time": "2025-07-29T07:27:39.592412",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_13/4134186477.py:8: UserWarning: Converting to PeriodArray/Index representation will drop timezone information.\n",
      "  purchase['purchase_month'] = purchase['event_date'].dt.to_period('M')\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 2.3.1. 计算每个用户的首购月份 / Calculate the first purchase month for each user\n",
    "first_purchase = purchase.groupby('user_id')['event_month'].min()\n",
    "\n",
    "\n",
    "# 2.3.2. 为每笔订单标记 cohort_month 和 purchase_month\n",
    "# Assign cohort_month (user’s first purchase month) and purchase_month\n",
    "purchase['cohort_month'] = purchase['user_id'].map(first_purchase)\n",
    "purchase['purchase_month'] = purchase['event_date'].dt.to_period('M')\n",
    "\n",
    "\n",
    "# 2.3.3. 计算距离首购月的月份差 / Calculate months since the cohort start (period_index)\n",
    "purchase['period_index'] = (purchase['purchase_month'] - purchase['cohort_month']).apply(lambda x: x.n)\n",
    "\n",
    "\n",
    "# 2.3.4. 构建 Cohort 表格 / Build cohort matrix (unique users per cohort per month)\n",
    "\n",
    "# 统计每个 cohort (cohort_month) 在每个 period_index 下的唯一用户数量\n",
    "# Count unique users for each cohort and period index\n",
    "cohort_data = purchase.groupby(['cohort_month', 'period_index'])['user_id'].nunique().unstack(fill_value=0)\n",
    "\n",
    "\n",
    "# 2.3.5. 计算留存率矩阵 / Calculate retention rates\n",
    "\n",
    "# 每个 cohort 的首月用户数（作为基准）/ Get the first month user count for each cohort\n",
    "cohort_sizes = cohort_data.iloc[:, 0]\n",
    "\n",
    "# 留存率 = 每月用户数 / 首月用户数\n",
    "# Retention rate = users in month / users in first month\n",
    "retention = cohort_data.divide(cohort_sizes, axis=0)\n",
    "\n",
    "# 2.3.6. 可视化留存热力图 / Visualize retention heatmap\n",
    "plt.figure(figsize=(10, 6))\n",
    "sns.heatmap(\n",
    "    retention,\n",
    "    annot=True,\n",
    "    fmt=\".2%\",\n",
    "    cmap=\"YlGnBu\",\n",
    "    cbar=True\n",
    ")\n",
    "plt.title('Cohort Retention')\n",
    "plt.ylabel('Cohort Month')\n",
    "plt.xlabel('Months Since Cohort')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8fc20c5b",
   "metadata": {
    "papermill": {
     "duration": 0.011352,
     "end_time": "2025-07-29T07:27:43.640821",
     "exception": false,
     "start_time": "2025-07-29T07:27:43.629469",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "### 洞察（留存） / Insights (Retention)\n",
    "\n",
    "1. **首月留存普遍 $\\approx$ 9%，唯独 2019‑10 Cohort 异常高（18.49%）**\n",
    "\n",
    "   * 其他 Cohort 在 M1（首购后第 1 个月）几乎都跌到 9% 左右。\n",
    "   * 2019‑10 的 M1 留存远高于均值，极可能受 11 月黑五大促刺激了二次购买。\n",
    "\n",
    "2. **2019‑10 Cohort 后续月份留存也更高**\n",
    "\n",
    "   * 在 M2–M4，这个 Cohort 的留存仍显著高于同时期其他 Cohort，说明一次大型折扣可能带来更长期的粘性提升。\n",
    "\n",
    "3. **长期留存接近 0，复购周期短**\n",
    "\n",
    "   * 多数 Cohort 在第 3 个月后几乎没有留存，说明用户大多“一锤子买卖”，缺乏持续复购。\n",
    "\n",
    "4. **不同 Cohort 下降轨迹相似，缺少改善迹象**\n",
    "\n",
    "   * 除了 2019‑10 Cohort 的黑五效应，其余 Cohort 的曲线都快速衰减，表明现有留存策略未显著起效。\n",
    "\n",
    "---\n",
    "\n",
    "1. **Month‑1 retention is $\\approx$ 9% overall; only the Oct‑2019 cohort spikes to 18.49%**\n",
    "\n",
    "   * Most cohorts drop to around 9% by Month 1 (M1).\n",
    "   * The Oct‑2019 cohort’s unusually high M1 retention likely comes from Black Friday promotions in November that drove second purchases.\n",
    "\n",
    "2. **Oct‑2019 cohort sustains higher retention in later months**\n",
    "\n",
    "   * Its M2–M4 retention stays above other cohorts, suggesting a major discount can create longer-lasting stickiness.\n",
    "\n",
    "3. **Near-zero long-term retention indicates short customer life cycles**\n",
    "\n",
    "   * After Month 3, retention is almost zero for most cohorts, implying purchases are largely one-off.\n",
    "\n",
    "4. **Similar declining patterns across cohorts—no sign of improvement**\n",
    "\n",
    "   * Except for the Black Friday cohort, curves drop steeply, indicating current retention tactics are ineffective."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a757ef12",
   "metadata": {
    "papermill": {
     "duration": 0.010217,
     "end_time": "2025-07-29T07:27:43.661496",
     "exception": false,
     "start_time": "2025-07-29T07:27:43.651279",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "#### 可执行建议 / Actionable Ideas\n",
    "\n",
    "1. **首月二次购激励**：首购后 7–14 天发放高额限时券或包邮，目标把常规 Cohort 的 M1 留存提升到 12–15%。\n",
    "2. **集中资源做大促并做好“尾部运营”**：削减日常小折扣，把预算集中到黑五/双十一等节点，并在活动后 2–4 周强化再营销。\n",
    "3. **复制黑五效应给非促期新客**：为非大促期新用户设计“首购券 + 首月复购券”组合，模拟一次“大折扣→长期留存”的路径。\n",
    "\n",
    "---\n",
    "\n",
    "1. **Incentivize second purchases within Month 1:** Send sizable, time-limited vouchers or free-shipping offers 7–14 days post–first purchase to lift M1 retention to 12–15%.\n",
    "2. **Shift budget to major campaigns + long-tail remarketing:** Reduce scattered small discounts; invest in big events like Black Friday and sustain remarketing for 2–4 weeks afterwards.\n",
    "3. **Replicate the “big-promo effect” for off-peak cohorts:** Bundle a first-purchase coupon with a Month‑1 repurchase coupon to mimic the retention boost seen in the Black Friday cohort."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7886700",
   "metadata": {
    "papermill": {
     "duration": 0.009719,
     "end_time": "2025-07-29T07:27:43.681359",
     "exception": false,
     "start_time": "2025-07-29T07:27:43.671640",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## 2.4 漏斗分析 / Funnel Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "252aa663",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:27:43.703960Z",
     "iopub.status.busy": "2025-07-29T07:27:43.703662Z",
     "iopub.status.idle": "2025-07-29T07:28:09.395123Z",
     "shell.execute_reply": "2025-07-29T07:28:09.394202Z"
    },
    "papermill": {
     "duration": 25.710573,
     "end_time": "2025-07-29T07:28:09.401751",
     "exception": false,
     "start_time": "2025-07-29T07:27:43.691178",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# === 2.4.1. 转化率柱状图 / bar chart of conversion rates =======================\n",
    "\n",
    "# 聚合每个 session 的行为：是否浏览、是否加购、是否购买\n",
    "# Aggregate user sessions to check if view/cart/purchase occurred\n",
    "session_funnel = df_raw.groupby('user_session').agg({\n",
    "    'is_view': 'max',\n",
    "    'is_cart': 'max',\n",
    "    'is_purchase': 'max'\n",
    "})\n",
    "\n",
    "# 各阶段的总数量\n",
    "# Total number of sessions that include each stage\n",
    "funnel_counts = session_funnel.sum()\n",
    "\n",
    "# 计算三种转化率\n",
    "# Calculate add-to-cart, checkout, and overall conversion rates\n",
    "funnel_rates = pd.Series({\n",
    "    # 整体下单转化率 / view-to-cart rate\n",
    "    'view_to_cart_rate': funnel_counts['is_cart'] / funnel_counts['is_view'],\n",
    "    # 加购率 / cart-to-purchasey rate\n",
    "    'cart_to_purchase_rate': funnel_counts['is_purchase'] / funnel_counts['is_cart'],\n",
    "    # 结账转化率 / view-to-cart rate\n",
    "    'view_to_purchase_rate': funnel_counts['is_purchase'] / funnel_counts['is_view']\n",
    "})\n",
    "\n",
    "# 可视化：柱状图\n",
    "# Visualization: bar chart of conversion rates\n",
    "plt.figure()\n",
    "bars = plt.bar(funnel_rates.index, funnel_rates.values)\n",
    "plt.title('Session Conversion Rates')\n",
    "plt.ylabel('Conversion Rate')\n",
    "plt.xticks(rotation=20)\n",
    "\n",
    "# 在柱子上标注百分比 / add percentage above bars\n",
    "for bar in bars:\n",
    "    height = bar.get_height()\n",
    "    plt.text(\n",
    "        bar.get_x() + bar.get_width() / 2,  # x坐标：柱子中间 / x-position: middle of the bar\n",
    "        height,  # y坐标：柱子顶端 / y-position: above the bar\n",
    "        f\"{height:.2%}\",  # 格式化为百分比 / show as percentage\n",
    "        ha='center', va='bottom'\n",
    "    )\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dde7ebcf",
   "metadata": {
    "papermill": {
     "duration": 0.017377,
     "end_time": "2025-07-29T07:28:09.441594",
     "exception": false,
     "start_time": "2025-07-29T07:28:09.424217",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "### 洞察（会话转化率） / Insights (Session Conversion)\n",
    "\n",
    "1. **加购→购买是主要瓶颈**\n",
    "\n",
    "   * 仅 **15.79 %** 的购物车完成结账，说明结账流程或价格因素导致大量流失。\n",
    "2. **整体下单转化率偏低**\n",
    "\n",
    "   * 访问到下单仅 **3.64 %**，提升任一环节都能放大 GMV。\n",
    "\n",
    "---\n",
    "\n",
    "1. **Cart → Purchase is the key bottleneck**\n",
    "\n",
    "   * Only **15.79 %** of carts convert, indicating checkout friction or price sensitivity.\n",
    "2. **Overall conversion is low**\n",
    "\n",
    "   * View‑to‑purchase is just **3.64 %**; improving any step would boost GMV.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "dff92a41",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:28:09.476804Z",
     "iopub.status.busy": "2025-07-29T07:28:09.476440Z",
     "iopub.status.idle": "2025-07-29T07:28:10.521409Z",
     "shell.execute_reply": "2025-07-29T07:28:10.520586Z"
    },
    "papermill": {
     "duration": 1.064284,
     "end_time": "2025-07-29T07:28:10.522822",
     "exception": false,
     "start_time": "2025-07-29T07:28:09.458538",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# === 2.4.2. 小时段 × 转化率热力图 / heatmap of hour_bin × conversion rates ======\n",
    "# 按小时段统计每个阶段的数量 / Aggregate stage counts by hour bin\n",
    "hourly_stage_counts = df_raw.groupby('hour_bin').agg({\n",
    "    'is_view': 'sum',\n",
    "    'is_cart': 'sum',\n",
    "    'is_purchase': 'sum'\n",
    "})\n",
    "\n",
    "# 计算每个小时段的转化率（加购率、结账转化率、整体下单转化率）\n",
    "# Calculate conversion rates per hour bin (add-to-cart, checkout, overall conversion)\n",
    "hourly_conversion_rates = pd.DataFrame({\n",
    "    # 整体下单转化率 / view-to-cart rate\n",
    "    'view_to_cart_rate': hourly_stage_counts['is_cart'] / hourly_stage_counts['is_view'],\n",
    "    # 加购率 / cart-to-purchasey rate\n",
    "    'cart_to_purchase_rate': hourly_stage_counts['is_purchase'] / hourly_stage_counts['is_cart'],\n",
    "    # 结账转化率 / view-to-cart rate\n",
    "    'view_to_purchase_rate': hourly_stage_counts['is_purchase'] / hourly_stage_counts['is_view']\n",
    "})\n",
    "\n",
    "plt.figure(figsize=(6,4))\n",
    "sns.heatmap(\n",
    "    hourly_conversion_rates,\n",
    "    annot=True,            \n",
    "    fmt=\".2f\",             \n",
    "    cmap=\"viridis\",        \n",
    "    cbar_kws={'label': 'Conversion Rate'}\n",
    ")\n",
    "plt.title('Conversion Rates by Hour Bin')\n",
    "plt.xlabel('Stage')\n",
    "plt.ylabel('Hour Bin (4h each)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1d3c3d52",
   "metadata": {
    "papermill": {
     "duration": 0.013653,
     "end_time": "2025-07-29T07:28:10.551511",
     "exception": false,
     "start_time": "2025-07-29T07:28:10.537858",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "### 洞察（小时段 × 转化率） / Insights (Conversion by Hour Bin)\n",
    "\n",
    "1. **凌晨 0–4 点加购率最高，结账率最低**\n",
    "\n",
    "   * `view→cart` = 0.71，显著高于日间；`cart→purchase` 仅 0.20，深夜用户多加购但推迟付款。\n",
    "2. **上午 8–12 点结账效率最佳**\n",
    "\n",
    "   * `cart→purchase` = 0.25 为全天峰值；`view→purchase` = 0.14，早间成为“理性下单”高峰。\n",
    "3. **傍晚 16–20 点整体转化偏低**\n",
    "\n",
    "   * 三项指标齐跌（`view→purchase` ≈ 0.12），或因通勤与注意力分散。\n",
    "4. **整日 `view→purchase` 相对平稳 (0.12–0.14)**\n",
    "\n",
    "   * 总体转化差异主要集中在“加购后是否支付”环节。\n",
    "\n",
    "---\n",
    "\n",
    "1. **Highest add‑to‑cart in 0–4 AM, but lowest checkout**\n",
    "\n",
    "   * `view→cart` = 0.71; `cart→purchase` = 0.20—users add at night but delay payment.\n",
    "2. **Best checkout efficiency in 8–12 AM**\n",
    "\n",
    "   * `cart→purchase` = 0.25 (day high); `view→purchase` = 0.14, a rational morning buying window.\n",
    "3. **Weaker conversion in 4–8 PM**\n",
    "\n",
    "   * All metrics dip (`view→purchase` ≈ 0.12) likely due to commute‑time distraction.\n",
    "4. **Overall `view→purchase` steady at 0.12–0.14**\n",
    "\n",
    "   * Main variance lies in the cart‑to‑purchase step."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d3fbd5ad",
   "metadata": {
    "papermill": {
     "duration": 0.012893,
     "end_time": "2025-07-29T07:28:10.578990",
     "exception": false,
     "start_time": "2025-07-29T07:28:10.566097",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "### 建议 / Recommendations\n",
    "\n",
    "* **针对深夜高加购低付款**\n",
    "\n",
    "  * 在 0–4 点自动推送“立即结账立减”或包邮券。\n",
    "  * 开启快捷支付通道，简化夜间结账流程。\n",
    "* **放大上午结账高峰**\n",
    "\n",
    "  * 8–11 点推出限时优惠或免邮活动，强化购买冲动。\n",
    "  * 发送“昨晚加购未付款”提醒，引导用户完成支付。\n",
    "* **弥补傍晚转化低谷**\n",
    "\n",
    "  * 下班前推送“优惠即将结束”通知，制造紧迫感。\n",
    "  * 18 点上线闪购/秒杀，提高用户停留与转化。\n",
    "\n",
    "---\n",
    "\n",
    "* **Address high add‑to‑cart but low checkout at night**\n",
    "\n",
    "  * Push instant‑checkout coupons or free‑shipping offers between 0–4 AM.\n",
    "  * Enable one‑click payment to streamline late‑night checkout.\n",
    "* **Leverage the morning checkout peak**\n",
    "\n",
    "  * Run limited‑time or free‑shipping promos from 8–11 AM.\n",
    "  * Send “items still in cart” reminders to prompt completion.\n",
    "* **Mitigate the evening conversion dip**\n",
    "\n",
    "  * Push “offer ending soon” alerts before commute finishes.\n",
    "  * Launch flash deals around 6 PM to boost engagement and conversion."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "fb2faba6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:28:10.604802Z",
     "iopub.status.busy": "2025-07-29T07:28:10.604479Z",
     "iopub.status.idle": "2025-07-29T07:28:38.551057Z",
     "shell.execute_reply": "2025-07-29T07:28:38.550315Z"
    },
    "papermill": {
     "duration": 27.961293,
     "end_time": "2025-07-29T07:28:38.552590",
     "exception": false,
     "start_time": "2025-07-29T07:28:10.591297",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# === 2.4.3. 浏览到购买的时间差 / View-to-Purchase Lag =======================\n",
    "view_times = (\n",
    "    df_raw[df_raw['is_view'] == 1]\n",
    "    .groupby('user_session')['event_time']\n",
    "    .min()\n",
    "    .rename('view_time')\n",
    ")\n",
    "\n",
    "purchase_times = (\n",
    "    df_raw[df_raw['is_purchase'] == 1]\n",
    "    .groupby('user_session')['event_time']\n",
    "    .min()\n",
    "    .rename('purchase_time')\n",
    ")\n",
    "\n",
    "lag_df = pd.merge(view_times, purchase_times, on='user_session', how='inner')\n",
    "lag_df['lag_hours'] = (lag_df['purchase_time'] - lag_df['view_time']).dt.total_seconds() / 3600\n",
    "lag = lag_df.loc[lag_df['lag_hours'] >= 0, 'lag_hours']\n",
    "\n",
    "plt.figure()\n",
    "plt.boxplot(lag)\n",
    "plt.title('View-to-Purchase Lag (Hours)')\n",
    "plt.ylabel('Hours')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "8c5fb3ea",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:28:38.577391Z",
     "iopub.status.busy": "2025-07-29T07:28:38.577085Z",
     "iopub.status.idle": "2025-07-29T07:28:38.591707Z",
     "shell.execute_reply": "2025-07-29T07:28:38.590836Z"
    },
    "papermill": {
     "duration": 0.028638,
     "end_time": "2025-07-29T07:28:38.593035",
     "exception": false,
     "start_time": "2025-07-29T07:28:38.564397",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    114126.000000\n",
       "mean          8.492271\n",
       "std         108.443753\n",
       "min           0.000000\n",
       "25%           0.120000\n",
       "50%           0.283056\n",
       "75%           0.671667\n",
       "max        3414.218611\n",
       "Name: lag_hours, dtype: float64"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lag.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "56bb223e",
   "metadata": {
    "papermill": {
     "duration": 0.012444,
     "end_time": "2025-07-29T07:28:38.617654",
     "exception": false,
     "start_time": "2025-07-29T07:28:38.605210",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "### 洞察（浏览→购买时滞） / Insights (View‑to‑Purchase Lag)\n",
    "\n",
    "1. **绝大多数转化发生在浏览后 30 分钟内**\n",
    "\n",
    "   * 中位数 **0.28 小时 ≈ 17 分钟**，75 分位仅 **0.67 小时**，说明 75 % 的订单在 40 分钟内完成。\n",
    "2. **长尾异常值极多**\n",
    "\n",
    "   * 最大时滞 **3414 小时（≈ 142 天）**，导致均值偏离（8.49 小时）且标准差高达 108 小时；均值和标准差已失去代表性。\n",
    "3. **离群用户可能包含反复比较或多设备场景**\n",
    "\n",
    "   * 超长时滞订单值得进一步抽样，排查重复浏览、跨设备或数据记录问题。\n",
    "\n",
    "---\n",
    "\n",
    "1. **Most conversions happen within 30 minutes of view**\n",
    "\n",
    "   * Median lag is **0.28 h ≈ 17 min**, and the 75th percentile is **0.67 h**, meaning 75 % of purchases complete within 40 minutes.\n",
    "2. **Heavy long‑tail outliers**\n",
    "\n",
    "   * The maximum lag reaches **3414 h (\\~ 142 days)**, inflating the mean (8.49 h) and SD (108 h); mean/SD are thus not informative.\n",
    "3. **Extreme lags may stem from comparison shopping or cross‑device behavior**\n",
    "\n",
    "   * Sampling these orders could reveal repeated browsing, device switching, or data anomalies."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d17eec6c",
   "metadata": {
    "papermill": {
     "duration": 0.013936,
     "end_time": "2025-07-29T07:28:38.644118",
     "exception": false,
     "start_time": "2025-07-29T07:28:38.630182",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "### 建议 / Recommendations\n",
    "\n",
    "* 聚焦 **0–1 小时窗口**：针对已浏览未购用户，在 30 分钟内推送提醒或优惠券，提升即时转化。\n",
    "* 对长尾订单做 **异常检测**：抽样核查超 24 小时时滞的订单，排除日志问题或识别高潜力犹豫用户。\n",
    "* 营销分层：快速转化用户用即时激励，慢转化群体结合再营销广告与邮件跟进。\n",
    "\n",
    "---\n",
    "\n",
    "* **Target the 0–1 hour window:** Send reminders or coupons within 30 minutes of view to boost immediate conversion.\n",
    "* **Outlier auditing:** Sample orders with lags > 24 h to rule out logging issues and identify deliberative shoppers.\n",
    "* **Segmented marketing:** Use instant incentives for fast converters; deploy retargeting ads and emails for slow converters."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "23044fa6",
   "metadata": {
    "papermill": {
     "duration": 0.012269,
     "end_time": "2025-07-29T07:28:38.668784",
     "exception": false,
     "start_time": "2025-07-29T07:28:38.656515",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# 3. 异动分析 / Anomaly Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6059c448",
   "metadata": {
    "papermill": {
     "duration": 0.011494,
     "end_time": "2025-07-29T07:28:38.692383",
     "exception": false,
     "start_time": "2025-07-29T07:28:38.680889",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## 3.1 月度转化率拆解 / Conversion Rate Breakdown"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "e058ea05",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:28:38.717751Z",
     "iopub.status.busy": "2025-07-29T07:28:38.717438Z",
     "iopub.status.idle": "2025-07-29T07:28:39.847703Z",
     "shell.execute_reply": "2025-07-29T07:28:39.846078Z"
    },
    "papermill": {
     "duration": 1.145414,
     "end_time": "2025-07-29T07:28:39.849587",
     "exception": false,
     "start_time": "2025-07-29T07:28:38.704173",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# === 月度转化率趋势 / Monthly Conversion Rate Trends ===============\n",
    "\n",
    "# 按月汇总各阶段事件计数 / Aggregate counts by event_month\n",
    "monthly_stage_counts = df_raw.groupby('event_month').agg({\n",
    "    'is_view': 'sum',\n",
    "    'is_cart': 'sum',\n",
    "    'is_purchase': 'sum'\n",
    "})\n",
    "\n",
    "# 计算转化率 / Calculate conversion rates\n",
    "monthly_conversion_rates = pd.DataFrame({\n",
    "    'view_to_cart_rate': monthly_stage_counts['is_cart'] / monthly_stage_counts['is_view'],\n",
    "    'cart_to_purchase_rate': monthly_stage_counts['is_purchase'] / monthly_stage_counts['is_cart'],\n",
    "    'view_to_purchase_rate': monthly_stage_counts['is_purchase'] / monthly_stage_counts['is_view']\n",
    "})\n",
    "\n",
    "# 绘制折线图 / Plot line chart of monthly conversion rates\n",
    "plt.figure(figsize=(8, 5))\n",
    "plt.plot(\n",
    "    monthly_conversion_rates.index.astype(str),\n",
    "    monthly_conversion_rates['view_to_cart_rate'],\n",
    "    marker='o', label='Overall View‑to‑Cart Rate'  # 整体下单转化率\n",
    ")\n",
    "plt.plot(\n",
    "    monthly_conversion_rates.index.astype(str),\n",
    "    monthly_conversion_rates['cart_to_purchase_rate'],\n",
    "    marker='o', label='Cart‑to‑Purchase Rate'  # 加购转化率\n",
    ")\n",
    "plt.plot(\n",
    "    monthly_conversion_rates.index.astype(str),\n",
    "    monthly_conversion_rates['view_to_purchase_rate'],\n",
    "    marker='o', label='View‑to‑Purchase Rate'  # 结账转化率\n",
    ")\n",
    "\n",
    "# 图表美化 / Enhance plot\n",
    "plt.title('Monthly Conversion Rate Trends')\n",
    "plt.xlabel('Month')\n",
    "plt.ylabel('Conversion Rate (%)')\n",
    "plt.ylim(0, 1)\n",
    "plt.gca().yaxis.set_major_formatter(mtick.PercentFormatter(1.0))  # 百分比格式 / percentage\n",
    "# plt.xticks(rotation=45)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ef9d882",
   "metadata": {
    "papermill": {
     "duration": 0.014037,
     "end_time": "2025-07-29T07:28:39.879365",
     "exception": false,
     "start_time": "2025-07-29T07:28:39.865328",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "### 洞察（月度转化率趋势） / Insights (Monthly Conversion Rate Trends)\n",
    "\n",
    "1. **三条转化率曲线整体平稳**\n",
    "\n",
    "   * 加购转化率（蓝）在 52 %–65 % 区间，12 月虽略降但 1 月后逐步回升。\n",
    "   * 结账转化率（橙）维持在 21 %–25 %，变化幅度＜4 pp。\n",
    "   * 整体下单转化率（绿）始终在 12 %–15 % 之间，无明显异常跳水。\n",
    "2. **12 月 GMV 暴降并非由转化率下滑驱动**\n",
    "\n",
    "   * 与 11 月相比，12 月三项转化率仅小幅波动，不足以解释 GMV 的大幅回落。\n",
    "   * 佐证此前假设——12 月需求被 11 月黑五“透支”，而非漏斗效率恶化。\n",
    "3. **1–2 月转化率继续回稳**\n",
    "\n",
    "   * 说明黑五活动的短期扰动已消散，平台漏斗效率恢复常态。\n",
    "\n",
    "---\n",
    "\n",
    "1. **All three conversion rates are broadly stable**\n",
    "\n",
    "   * View‑to‑cart ranges **52 %–65 %**; slight dip in Dec but rebounds afterward.\n",
    "   * Cart‑to‑purchase stays **21 %–25 %** with < 4 pp fluctuation.\n",
    "   * View‑to‑purchase remains **12 %–15 %**, showing no sharp drop.\n",
    "2. **Dec‑19 GMV plunge is not conversion‑driven**\n",
    "\n",
    "   * Minor rate changes vs. Nov cannot account for the GMV decline, reinforcing the “demand pulled forward by Black Friday” hypothesis.\n",
    "3. **Conversion rates normalize in Jan–Feb**\n",
    "\n",
    "   * Indicates the Black Friday shock was temporary; funnel efficiency has returned to baseline.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f9cad029",
   "metadata": {
    "papermill": {
     "duration": 0.012636,
     "end_time": "2025-07-29T07:28:39.905580",
     "exception": false,
     "start_time": "2025-07-29T07:28:39.892944",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## 3.2 浏览量变化分析 / Traffic (Views) Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "71ec19d3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:28:39.938094Z",
     "iopub.status.busy": "2025-07-29T07:28:39.937102Z",
     "iopub.status.idle": "2025-07-29T07:28:40.422087Z",
     "shell.execute_reply": "2025-07-29T07:28:40.421155Z"
    },
    "papermill": {
     "duration": 0.504217,
     "end_time": "2025-07-29T07:28:40.423539",
     "exception": false,
     "start_time": "2025-07-29T07:28:39.919322",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# === 每月浏览量 / Monthly Views ====================================\n",
    "monthly_views = df_raw.groupby('event_month')['is_view'].sum()\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(monthly_views.index.astype(str), monthly_views.values, marker='o')\n",
    "plt.title('Monthly Views Trend')\n",
    "plt.xlabel('Month')\n",
    "plt.ylabel('Views')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8335eb75",
   "metadata": {
    "papermill": {
     "duration": 0.012789,
     "end_time": "2025-07-29T07:28:40.450277",
     "exception": false,
     "start_time": "2025-07-29T07:28:40.437488",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "### 洞察（浏览量趋势） / Insights (Monthly Views Trend)\n",
    "\n",
    "1. **11 月流量峰值 → 12 月骤降**\n",
    "\n",
    "   * 浏览量从 11 月 2.07 M 跌至 12 月 1.73 M，环比‑16 %，也低于 10 月基线，验证“黑五透支需求”假设。\n",
    "2. **流量波动与 GMV 走势高度一致**\n",
    "\n",
    "   * 12 月 GMV 暴跌主要由流量下滑驱动，而转化率保持平稳；1 月流量恢复至 2.03 M，GMV 随之回升。\n",
    "3. **促销后存在“反弹‑回落”效应**\n",
    "\n",
    "   * 黑五带来短期流量峰值，紧随其后出现流量低谷，再逐步回归常态，提示需关注促销后的流量空窗期。\n",
    "\n",
    "---\n",
    "\n",
    "1. **Traffic peaks in Nov, plunges in Dec**\n",
    "\n",
    "   * Views drop from 2.07 M (Nov) to 1.73 M (Dec), a ‑16 % MoM fall and below the Oct baseline—supporting the “demand pulled forward by Black Friday” thesis.\n",
    "2. **Traffic swing mirrors GMV pattern**\n",
    "\n",
    "   * The Dec GMV dive is traffic‑driven; conversion rates stayed steady. When views rebound to 2.03 M in Jan, GMV likewise recovers.\n",
    "3. **Post‑promo “spike‑dip” effect**\n",
    "\n",
    "   * Black Friday yields a short‑lived traffic spike followed by a trough that slowly normalizes, highlighting the need to manage the post‑promotion lull."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "08c7617f",
   "metadata": {
    "papermill": {
     "duration": 0.013828,
     "end_time": "2025-07-29T07:28:40.477209",
     "exception": false,
     "start_time": "2025-07-29T07:28:40.463381",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## 3.3 客单价变化分析 / AOV Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "a74ed348",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-29T07:28:40.506371Z",
     "iopub.status.busy": "2025-07-29T07:28:40.506031Z",
     "iopub.status.idle": "2025-07-29T07:28:40.626839Z",
     "shell.execute_reply": "2025-07-29T07:28:40.625923Z"
    },
    "papermill": {
     "duration": 0.137909,
     "end_time": "2025-07-29T07:28:40.628502",
     "exception": false,
     "start_time": "2025-07-29T07:28:40.490593",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkYAAAHHCAYAAABa2ZeMAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8pXeV/AAAACXBIWXMAAA9hAAAPYQGoP6dpAABdwUlEQVR4nO3deVxU9f7H8dcAsiq4oSwi7nuKS5lb5dXUNEutVLJM67baL83U0uyqbXpbbLPFvJXd0jTLrMzsmrlkapm7ueTKoiBqCggICOf3x4HRCVBU4MwM7+fjcR6eOfOdM5/DuRc+nc93sRmGYSAiIiIieFgdgIiIiIizUGIkIiIikkeJkYiIiEgeJUYiIiIieZQYiYiIiORRYiQiIiKSR4mRiIiISB4lRiIiIiJ5lBiJiIiI5FFiJCKlzmaz8eijj1603ezZs7HZbBw6dKj0g5JiWblyJTabjZUrV1odikiZUGIk4sLyEwmbzcaaNWsKvG8YBhEREdhsNm6++eZSjWXt2rVMnjyZU6dOler3XK6BAwdis9l48sknL9jul19+oX///tSsWRMfHx/q1KnDgw8+SGxsrL1NUlISXl5e3HXXXUWeJzU1FT8/PwYMGFDo+zfccIP93l1omzx58mVdr4hcHi+rAxCRK+fr68vcuXPp3Lmzw/FVq1YRHx+Pj49Pqcewdu1apkyZwrBhw6hcuXKpf9+lSElJ4dtvv6VOnTp89tlnTJs2DZvNVqDdW2+9xciRI6lXrx7/93//R2hoKLt27eI///kP8+fPZ8mSJXTs2JEaNWpw44038vXXX5Oeno6/v3+Bcy1cuJAzZ84UmTw9/fTT/POf/7S/3rBhA2+++SYTJkygadOm9uMtW7YsgZ+AiBSXEiMRN9C7d28WLFjAm2++iZfXuf9bz507l7Zt23L8+HELo7Pel19+SU5ODh9++CH/+Mc/WL16Nddff71Dm19++YVRo0bRuXNnli5d6pDsPPzww3Tq1Inbb7+dP/74gypVqjBkyBCWLl3KN998w+DBgwt859y5cwkKCqJPnz6FxnTjjTc6vPb19eXNN9/kxhtv5IYbbijyWtLS0ggICLiEqxeRS6FSmogbiI6O5sSJEyxbtsx+LCsriy+++II777yz0M+kpaXxxBNPEBERgY+PD40bN+aVV17BMAyHdvn9gxYtWkSLFi3w8fGhefPmLF261N5m8uTJjB07FoC6devay0B/7yt0oXMU5p577qF69epkZ2cXeK9Hjx40btz4gp/PN2fOHG688Ua6du1K06ZNmTNnToE2zz33HDabjY8//rjAE6D69evz0ksvkZCQwMyZMwHo378/AQEBzJ07t8C5kpKSWL58ObfffvsVPa2bPHkyNpuNnTt3cuedd1KlShWHp4Kffvopbdu2xc/Pj6pVqzJ48GDi4uIcznHDDTfQokULdu7cSdeuXfH39yc8PJyXXnqpwPfFx8fTr18/AgICqFGjBo8//jiZmZmXHb+IK1JiJOIG6tSpQ4cOHfjss8/sx77//nuSk5MLfZphGAa33HILr732Gr169WL69Ok0btyYsWPHMnr06ALt16xZwyOPPMLgwYN56aWXOHPmDLfddhsnTpwAYMCAAURHRwPw2muv8cknn/DJJ58QHBxc7HMU5u677+bEiRP88MMPDscTExP56aefLtjHJ9+RI0dYsWKFPb7o6Gi++OILsrKy7G3S09NZvnw5Xbp0oW7duoWeZ9CgQfj4+LB48WIAAgICuPXWW/nhhx/466+/HNrOnz+fnJwchgwZctH4iuOOO+4gPT2dF198kfvvvx+AF154gaFDh9KwYUOmT5/OqFGjWL58Odddd12Bfl4nT56kV69etGrVildffZUmTZrw5JNP8v3339vbZGRk0K1bN3744QceffRRnn76aX7++WfGjRtXItcg4jIMEXFZH330kQEYGzZsMGbMmGFUqlTJSE9PNwzDMO644w6ja9euhmEYRmRkpNGnTx/75xYtWmQAxvPPP+9wvttvv92w2WzGvn377McAw9vb2+HY1q1bDcB466237MdefvllAzAOHjxYIM7iniP/evLPkZOTY9SqVcsYNGiQw/mmT59u2Gw248CBAxf9Gb3yyiuGn5+fkZKSYhiGYfz5558GYHz11Vf2Nlu2bDEAY+TIkRc8V8uWLY2qVavaX3/33XcGYMycOdOh3bXXXmuEh4cbOTk5F40v34IFCwzAWLFihf3YpEmTDMCIjo52aHvo0CHD09PTeOGFFxyOb9++3fDy8nI4fv311xuA8d///td+LDMz0wgJCTFuu+02+7HXX3/dAIzPP//cfiwtLc1o0KBBgbhE3JmeGIm4iYEDB5KRkcHixYtJTU1l8eLFRZbRlixZgqenJ4899pjD8SeeeALDMByeJAB0796d+vXr21+3bNmSwMBADhw4UOz4LuccHh4eDBkyhG+++YbU1FT78Tlz5tCxY8cin+6cb86cOfTp04dKlSoB0LBhQ9q2betQTss/d36bolSqVImUlBT76x49ehAcHOxQTjt48CDr168nOjoaD4+S+RX70EMPObxeuHAhubm5DBw4kOPHj9u3kJAQGjZsyIoVKxzaV6xY0eHpmre3N9dcc43Dz37JkiWEhoZy++2324/5+/vzwAMPlMg1iLgKJUYibiI4OJju3bszd+5cFi5cSE5OjsMfufPFxMQQFhZWIBHIHw0VExPjcLx27doFzlGlShVOnjxZ7Pgu9xxDhw4lIyODr776CoA9e/awceNG7r777ot+565du9i8eTOdOnVi37599u2GG25g8eLF9iQn/+dwfvJVmNTUVIefmZeXF4MGDeLnn3/m8OHDAPYkqaTKaECBBHDv3r0YhkHDhg0JDg522Hbt2kVSUpJD+1q1ahUYhff3n31MTAwNGjQo0K64/bhE3IVGpYm4kTvvvJP777+fxMREbrrpphIbNu/p6VnoceNvHbVL4xzNmjWjbdu2fPrppwwdOpRPP/0Ub29vBg4ceNHv/PTTTwF4/PHHefzxxwu8/+WXXzJ8+HAaNGiAl5cX27ZtK/JcmZmZ7Nmzh3bt2jkcv+uuu5gxYwafffYZY8aM4bPPPqNZs2ZERUVdNL7i8vPzc3idm5uLzWbj+++/L/TnWrFiRYfXJXH/RMoLJUYibqR///48+OCDrF+/nvnz5xfZLjIykh9//LHAE5Ddu3fb379Uhc0LVFKGDh3K6NGjSUhIYO7cufTp04cqVapc8DOGYTB37ly6du3KI488UuD95557jjlz5jB8+HACAgLo2rUrP/30EzExMYVe/+eff05mZmaBiTLbt29P/fr1mTt3LjfeeCN//PEHL7zwwpVd8EXUr18fwzCoW7cujRo1KpFzRkZGsmPHDgzDcLiXe/bsKZHzi7gKldJE3EjFihV59913mTx5Mn379i2yXe/evcnJyWHGjBkOx1977TVsNhs33XTTJX93/tw6pTHzdXR0NDabjZEjR3LgwIFijUb75ZdfOHToEMOHD+f2228vsA0aNIgVK1Zw5MgRACZOnIhhGAwbNoyMjAyHcx08eJBx48YRGhrKgw8+WOC7hgwZwubNm5k0aRI2m63Ivl0lZcCAAXh6ejJlypQCT30Mw7jgSL+i9O7dmyNHjvDFF1/Yj6Wnp/P+++9fcbwirkRPjETczD333HPRNn379qVr1648/fTTHDp0iFatWvG///2Pr7/+mlGjRjl0ki6utm3bAuaMzoMHD6ZChQr07du3RCYjDA4OplevXixYsIDKlSsXOWni+ebMmYOnp2eRbW+55Raefvpp5s2bx+jRo7nuuut45ZVXGD16NC1btmTYsGGEhoaye/duZs2aRW5uLkuWLCn0SdVdd93Fs88+y9dff02nTp2oU6fOlV7yBdWvX5/nn3+e8ePHc+jQIfr160elSpU4ePAgX331FQ888ABjxoy5pHPef//9zJgxg6FDh7Jx40ZCQ0P55JNPCp3VW8Sd6YmRSDnk4eHBN998w6hRo1i8eDGjRo1i586dvPzyy0yfPv2yznn11Vfz3HPPsXXrVoYNG0Z0dDTHjh0rsZiHDh0KmKPvLjZpYnZ2NgsWLKBjx45UrVq10DYtWrSgbt269n5IYPZFWr16Nc2bN+f111/noYceYv78+dxxxx1s27aNTp06FXquhg0bcvXVVwMl2+n6Qp566im+/PJLPDw8mDJlCmPGjOGbb76hR48e3HLLLZd8Pn9/f5YvX06PHj146623eP755+ncuXOhE0GKuDObod53IuICvv76a/r168fq1avp0qWL1eGIiJtSYiQiLuHmm29m165d7Nu3r1Q7eotI+aY+RiLi1ObNm8e2bdv47rvveOONN5QUiUip0hMjEXFqNpuNihUrMmjQIN577z28vPTfcyJSevQbRkScmv7bTUTKkkaliYiIiORRYiQiIiKSR6W0QuTm5nLkyBEqVaqkjp4iIiIuwjAMUlNTCQsLw8Pj8p79KDEqxJEjR4iIiLA6DBEREbkMcXFx1KpV67I+q8SoEPmLasbFxREYGGhxNCIiIlIcKSkpREREOCyOfamUGBUiv3wWGBioxEhERMTFXEk3GHW+FhEREcmjxEhEREQkjxIjERERkTxKjERERETyKDESERERyaPESERERCSPEiMRERGRPEqMRERERPIoMRIRERHJo5mvRaT8yM2BYz9DRgL4hUJwF/DwtDoqEXEiSoxEpHyIWwgbR0J6/Llj/rWg7RsQMcC6uETEqaiUJiLuL24h/Hy7Y1IEkH7YPB630Jq4RMTpKDESEfeWm2M+KcIo5M28YxtHme1EpNxTYiQi7u3YzwWfFDkwID3ObCci5Z4SIxFxbxkJxWuXHle6cYiIS1BiJCLuzS+0eO02Pg7bpxQ/kRIRt6TESETcW3AXc/QZtgs08oCsE7B9MiyqDWsGQ9LPYBTWL0lE3JkSIxFxbx6e5pD8Qjtf28yt02fQcS4EdwLjLMTOhx+vg++jYN/7cDatbGMWEcsoMRIR9xcxAGp2K3jcvxZ0+QIiB0KdaLhxDdy0Ger/Ezz94NQ2+O1B+CrcLLWl7C372EWkTFmaGE2ePBmbzeawNWnS5IKfWbBgAU2aNMHX15errrqKJUuWOLw/bNiwAufs1atXaV6GiDi73Gw4ucncbzPdfDrUbQXccrDg5I5VoqD9LOh/GFq/ChXrQ3Yy7HkdFjeCFb0g/lsN7xdxU5bPfN28eXN+/PFH+2svr6JDWrt2LdHR0UydOpWbb76ZuXPn0q9fPzZt2kSLFi3s7Xr16sVHH31kf+3j41M6wYuIa0hcDlknwbcGNHqseMuAeFeBpqOhyShI+B/8OQOOLIGEH8wtoA40fBjq3wc+1Ur7CkSkjFheSvPy8iIkJMS+Va9evci2b7zxBr169WLs2LE0bdqU5557jjZt2jBjxgyHdj4+Pg7nrFKlSmlfhog4s9jPzX8jbr/0tdFsHhDWC25YDLfsg6ZjzKQp7RBsedIss60fDid+L/GwRaTsWZ4Y7d27l7CwMOrVq8eQIUOIjY0tsu26devo3r27w7GePXuybt06h2MrV66kRo0aNG7cmIcffpgTJ05cMIbMzExSUlIcNhFxEzlZEPeVuV/7jis7V8V60Ppl6HcY2n8IVdpAbiYcmA0/XA0/tIeDn0DOmSsOW0SsYWli1L59e2bPns3SpUt59913OXjwIF26dCE1NbXQ9omJidSsWdPhWM2aNUlMTLS/7tWrF//9739Zvnw5//73v1m1ahU33XQTOTlF9weYOnUqQUFB9i0iIqJkLlBErJf4I2SfAt+a5tD9kuDlB/WHQ6/focc6qHMXeHjDid9g3VBYFAFbxkNaTMl8n4iUGZthOM9EHadOnSIyMpLp06dz3333FXjf29ubjz/+mOjoaPuxd955hylTpnD06NFCz3ngwAHq16/Pjz/+SLduhYxKwXxilJmZaX+dkpJCREQEycnJBAYGXuFViYil1g2Dgx9DwxFw9YyLNr9sZ5Jg/39g77vnliCxeUB4X2j0qDkqznahuZRE5EqlpKQQFBR0RX+/LS+lna9y5co0atSIffv2Ffp+SEhIgQTo6NGjhISEFHnOevXqUb169SLPCWafpMDAQIdNRNxAThbELzL3IweW7nf51oDmE8yRbl0WmomQkQvxX8NPN8J3TWHPW5CVXLpxiMgVcarE6PTp0+zfv5/Q0MKn8O/QoQPLly93OLZs2TI6dOhQ5Dnj4+M5ceJEkecUETeWuMwcau8XCtU7lc13enhBRH/o9iP02Wk+LfKqBCl7YONjsCgcfnsYTu0om3hE5JJYmhiNGTOGVatWcejQIdauXUv//v3x9PS0l8qGDh3K+PHj7e1HjhzJ0qVLefXVV9m9ezeTJ0/m999/59FHHwXMxGrs2LGsX7+eQ4cOsXz5cm699VYaNGhAz549LblGEbHQlYxGKwlBTaHdW+acSO3ehqBm5iza+96DJVfBjzdA7AJzniURcQqWJkbx8fFER0fTuHFjBg4cSLVq1Vi/fj3BwcEAxMbGkpBwbkHHjh07MnfuXN5//31atWrFF198waJFi+xzGHl6erJt2zZuueUWGjVqxH333Ufbtm35+eefNZeRSHmTk3mujFa7lMtoF1OhEjR6BHrvgG4/QcRtYPOEpFWwZiB8XQe2PwsZiRc9lYiULqfqfO0sSqLzlohYLP5bWH0L+IVBvzizI7QzSY+HvTNh//tmx20Ajwpm0tRwhLlumzpri1wSt+t8LSJSYvLLaLXvcL6kCMx12lo9B7fGQsc5UL2jWVKLmQc/doHvW8O+WVrAVqSMOeFvCxGRK5RzxhwNBlc+qWNp8/SBOndCj1+g1yZziRFPPzi1FX57IG8B29GQWvTIWhEpOUqMRMT9JPwAZ1PBLxyqFz1q1elUbQ3t/wP94qH1K+ZM29nJsOc1+LYhrLgJDi/WArYipUiJkYi4nxgnL6NdjE9VaPoE9N0LNyyBsN6ADRKWwqq+ZpK082XIvPByRyJy6VzwN4aIyAWczYDD35j7Vo9Gu1I2Dwi7CW74zkySmjyRt4DtQdgyDhbVMhew/Wuj1ZGKuA0lRiLiXhJ+gLOnwT8Cqre3OpqSU6k+tHnFLLO1/wCqtDb7Uh2YDUvbwQ/XwsFPzWkKROSyKTESEffi7KPRrpSXP9S/F3pthBvXQuSd5jD/E7/CurvzFrCdAGmxVkcq4pLc8LeGiJRb7lRGuxibDYI7QKc5cGsctHzenAIg8xjsnArf1IXV/SHxR9B0dSLFpsRIRNxHwvfmvD/+taHaNVZHU3b8akKLp/MWsP0Sav4jbwHbRXkL2DYzF7DNTrE6UhGnp8RIRNxH/mi0yIHlc9ZoDy+IGADdlkOfP8wZtL0qQspucwHbr8JhwyNw6g+rIxVxWkqMRMQ9nE2Hw9+a+xFOPqljWQhqBlfPyFvAdgYENjU7pe99F5a0gB+7QuwXWsBW5G+UGImIeziyBHLSISASql1tdTTOo0IgNBphPkH6x3LziZLNA5JWwpo74Ou6sP05LWArkkeJkYi4B/totHJaRrsYmw1C/mH2QbrlEDR/GnxrQMZh2P4v+Lo2/HInHPtFnbWlXFNiJCKu72waHP7O3Hf30WglISACWj1vLmDb4VNz2ZTcbIj5DJZ1hqVtYN9/zPKkSDmjxEhEXJ+9jFYXqra1OhrX4ekDdYdAj7XmvEj17gVPXzi5BX673+ysvekJLWAr5YoSIxFxfeV9NFpJqNoGrv0A+h2G1i/nLWB7CnZPz1vAtrf5VE4L2IqbU2IkIq4t+zQcURmtxPhUhaZjzLXZrv8OQm/CXMD2e1h1s5kk7XoFMv+yOlKRUqHESERc25HvICcDKtY31w+TkmHzgPDe0HXJuQVsK1Q2F7DdPBYWhcP6e+GvTVZHKlKilBiJiGvTaLTSl7+Abf/D0P4/UCUqbwHbj2BpW/ihAxycowVsxS0oMRIR15Wdana8BnPRWCldXv5Q/z7otQlu/OW8BWzXw7q7zAVstz4NaXFWRypy2ZQYiYjrOrzYfHJRsYH5FEPKhs0GwR3PW8D2OfALNxew/eNF+KYOrB4Aics1J5K4HCVGIuK6YheY/2o0mnX8akKLiXDrIej8BdTsmreA7VfwU3f4rjnsmaEFbMVlKDESEdfkUEbTaDTLeXhB7dug20/Qewc0fCRvAdtdsPH/8hawHQHJO62OVOSClBiJiGs6/C3kZkKlRlC5pdXRyPkqN4er3zY7a7d9CwKb5C1g+475BGn5PyD2S8g9a3WkIgUoMRIR16TRaM6vQiA0fhT67IR//Ai1+pvTABxdAWtuh6/rwI7nIeOo1ZGK2CkxEhHXk50CR7439yNVRnN6NhuEdIPrFsItB6H5BPAJNhew3fYMfB0BvwyBY2vVWVssp8RIRFxP/DeQm2WWaIJaWB2NXIqA2tDqBegXBx0+gWrX5i1gOxeWdTLnRdr/QdEL2ObmwNGVcOgz818tUSIlzMvqAERELpm9jHaHymiuytMH6t5lbn9thD/fhpjP4ORm+PWf5uza9e6Fhg+bE0wCxC2EjSMhPf7cefxrQds3IGKANdchbsdmGHpu+XcpKSkEBQWRnJxMYGCg1eGIyPmyTsHCmuYTo97bobKeGLmNzBPmbNp/vmMuPQKADUJ7mcu97JwK/P1PVl5i3OULJUdSIn+/VUoTEddiL6M1haDmVkcjJcmn2nkL2C42EyIMcwHbnS9SMCni3LGNo1RWkxKhxEhEXEv+pI4ajea+PDwhvA90/d5MkiIuttyLAelxcOznMglP3JsSIxFxHVmnIPEHc19ro5UPlRpARP/itd37njmyLSerdGMSt6bO1yLiOuK/NkcwBTU3JxGU8sEvtHjtYuebm6cvVO8AwddBjeug+rXmArgixaDESERcx/mTOkr5EdzFHH2WfpjC+xnZoEKQuU7bsZ8h87g5ieTRFebbHhWg6tVmklTjOgjuZE4+KVIIJUYi4hqyTkLC/8x9ldHKFw9Pc0j+z7djjkI7PznK62d27QfmqDTDMNdnS1qdt62CjCNwfK257Zxmzr5dOQpqXJ+XKHUG3+plf13ilDRcvxAari/ihPZ/BL/eC5Wvgt7brI5GrFDoPEYR0Pb1oofqG4Y59P/oKjiWlyydPlCwXVDz8xKlLuAfViqXIKWrJP5+64mRiLiG/DLaRUcoiduKGADht5rlsowEs+9RcBfziVJRbDaoWM/c6g83j6XHQ9LP5tOkpNXmE6bkP8xt7ztmm4oNzpXealwPAZEaBVlO6IlRIfTESMTJZJ6AhSFgnIU+uyCoidURiTs5kwTH1pwrvZ3cSoG+TP4R5/VRug4CGytRckJ6YiQi5UP8IjMpqtxSSZGUPN8a5tOo/HJc1ik49su5fkp//W7Ok3RojrnlfyZ/1FuN68wSr00z4LgDJUYi4vzOn9RRpLR5VzYnmAzvY74+mwbH151LlI6vN58yxX1hbgAVKpuduGtebyZMVVubo+HE5SgxEhHnlnkCEn809zUaTazgFQAh3c0NICcTTmwwO3MfXQXHf4HsU3Bksbnlf6Z6x3NPlKpdY86vJE5PiZGIOLe4r8DIgSpRENjI6mhEwNMHanQ2t+YTIPcsnNx87onSsZ/N6SUSl5kbgIcPVG9/3qSTHaBCRWuvQwqlxEhEnJsmdRRn5+EF1a42t6ZPgJELp3bkJUl5ydKZo+cSpz8AmxdUbes46aR3FauvRLB4rbTJkydjs9kctiZNLtyxcsGCBTRp0gRfX1+uuuoqlixZ4vC+YRj861//IjQ0FD8/P7p3787evXtL8zJEpLScOQZHfzL3VUYTV2HzgCotofGj0Plz6J8AN++Ba96HOneZI9yMs3DiV9j1MqzqC19UgyVR8PtjEPul2YdJLGH5E6PmzZvz448/2l97eRUd0tq1a4mOjmbq1KncfPPNzJ07l379+rFp0yZatGgBwEsvvcSbb77Jxx9/TN26dXnmmWfo2bMnO3fuxNdX9V0RlxKfX0ZrYy4mKuKKbDazDBzYCBrcbx5Lizk3PUDSakjdC6e2mtufb5ltApucm0epxnXmsihS6iydx2jy5MksWrSILVu2FKv9oEGDSEtLY/HixfZj1157LVFRUbz33nsYhkFYWBhPPPEEY8aMASA5OZmaNWsye/ZsBg8eXKzv0TxGIk5ieXc4uhxaTYXmT1kdjUjpyUjIm3QyL1lK3lGwTUDd8yadvA4q1tdcSn9TEn+/LZ90Ye/evYSFhVGvXj2GDBlCbGxskW3XrVtH9+7dHY717NmTdevWAXDw4EESExMd2gQFBdG+fXt7GxFxEWeSIClvEVCV0cTd+YVC5EC4egb02Q63HYfrFkGT0VC1nVmeSzsIBz+GX++DbxvColrwSzTsfRdO/WH2bZIrZmkprX379syePZvGjRuTkJDAlClT6NKlCzt27KBSpUoF2icmJlKzZk2HYzVr1iQxMdH+fv6xotoUJjMzk8zMTPvrlJSUy74mESkhcQvNX/RV20Kl+lZHI1K2fKpBrVvNDSA7BY6tPdeh+8Rv5uK4MfPMLf8zDpNOtrrwcilSKEsTo5tuusm+37JlS9q3b09kZCSff/459913X5nFMXXqVKZMmVJm3ycixaBJHUXOqRAIYb3MDeBshtl5O7+P0vF15pxf8V+ZW/5nqnc610+palvw9LbuGlyE5Z2vz1e5cmUaNWrEvn37Cn0/JCSEo0ePOhw7evQoISEh9vfzj4WGhjq0iYqKKvJ7x48fz+jRo+2vU1JSiIiIuNzLEJErlXEUklaa+yqjiRTk5Qc1bzA3gJws+GvjuUknj60xnzIlfG9uAJ5+5vxJ9kkn24OXv1VX4LQs72N0vtOnT7N//36HpOZ8HTp0YPny5Q7Hli1bRocOHQCoW7cuISEhDm1SUlL49ddf7W0K4+PjQ2BgoMMmIhaKzy+jXQ0V61odjYjz8/SG4A7Q7EnougRuPwm9NkKb16BWf7PMlpNhTn+xfTIs/wd8URmWdYYtE+DIUjOREmufGI0ZM4a+ffsSGRnJkSNHmDRpEp6enkRHRwMwdOhQwsPDmTp1KgAjR47k+uuv59VXX6VPnz7MmzeP33//nffffx8Am83GqFGjeP7552nYsKF9uH5YWBj9+vWz6jJF5FLF5E3qGKkymshl8fCEqm3Mrcko8z80knedm3AyaZU5Eu7YL+a2c2re/Eutz00PENzZTKjKGUsTo/j4eKKjozlx4gTBwcF07tyZ9evXExwcDEBsbCweHuceanXs2JG5c+cyceJEJkyYQMOGDVm0aJF9DiOAcePGkZaWxgMPPMCpU6fo3LkzS5cu1RxGIq4iI9H8pQ0qo4mUFJsHVG5ubg0fBsOA0wcc51JKO2iW4/7aCLunm58LanHeXEpdzNFzbs7SeYycleYxErHQn2/D74+a/R96rrc6GpHyIy3OXOctP1lK2V2wTaWGeU+TroOa10NAZNnHeQEl8ffbqTpfi4icWxtNT4tEylRABATcCXXuNF+fSTo36eSx1XByqzlDd+pe2P+B2ca/tuOkk5UaXXjSydwcM/nKSDCfPgV3cbopBfTEqBB6YiRikYwE+CocMODWQ073X6Mi5VrWSbM/Uv5iuH/9bi7Zcz7fmueeKNW4Diq3MMt4YM5NtnEkpMefa+9fC9q+AREDSiTEkvj7rcSoEEqMRCyyZwZs/D+odi301Gz1Ik4t+7Q5f1L+E6Xjv0JupmMb7ypmJ27vquas3QXkPV3q8kWJJEcqpYmIe4nVaDQRl1GhIoTeaG4AOWfgxIZzfZSOrzWfMh3+9gInMQAbbBwF4bc6RVlNiZGIOIf0w+akdAARt1sbi4hcOk9fc+RajS7A05CbDX9thgMfwb73LvBBA9LzOn7nT1hpIaea4FFEyrG4LwEDqnc0O4GKiGvzqADVrzH7GhVHRkLpxlNMSoxExDnYR6OpjCbiVoo795GTzJGkxEhErJceb452AaitMpqIWwnuYo4+o6hh/DbwjzDbOQElRiJivdgvzH+DO4N/uLWxiEjJ8vA0h+QDBZOjvNdtX3eKjtegxEhEnIEmdRRxbxEDzCH5f/8PH/9aJTZUv6RoVJqIWCstzpwLBRtE3GZ1NCJSWiIGmEPynXzmayVGImKtOJXRRMoND0+nGJJ/ISqliYi1YjQaTUSchxIjEbFOWgycWA/YoLbKaCJiPSVGImKd/NFoNa5zmjlMRKR8U2IkItbRpI4i4mSUGImINU4fghO/gc3DqYbqikj5psRIRKwRu8D8t8b14BdibSwiInmUGImINTSpo4g4ISVGIlL2Th+Av343y2i1VEYTEeehxEhEyp59NNoN4FfT0lBERM6nxEhEyp5Go4mIk1JiJCJlK3U//LVRo9FExCkpMRKRspU/Gq3mP8A32NpYRET+RomRiJQtldFExIkpMRKRspOyF05uBpsn1OpvdTQiIgUoMRKRshOXX0brBr7VrY1FRKQQSoxEpOzEaFJHEXFuSoxEpGyk/AmntppltAiV0UTEOSkxEpGykT8aLaQ7+FSzNhYRkSIoMRKRsqHRaCLiApQYiUjpS94Np7aBzQtq9bM6GhGRIikxEpHSZy+j3Qg+Va2NRUTkApQYiUjpyy+jRaqMJiLOTYmRiJSu5J2QvAM8KkCtW62ORkTkgpQYiUjpspfReoB3FWtjERG5CCVGIlK6YjWpo4i4DiVGIlJ6Tv1hltJURhMRF6HESERKj72M1hO8K1saiohIcSgxEpHSYRgajSYiLkeJkYiUjuQ/IGUXeHhD+C1WRyMiUixKjESkdOQ/LQrtBd5B1sYiIlJMSoxEpOSdX0bT2mgi4kKUGIlIyTu1HVL2gIcP1OprdTQiIsXmNInRtGnTsNlsjBo1qsg22dnZPPvss9SvXx9fX19atWrF0qVLHdpMnjwZm83msDVp0qSUoxcRB/lPi8JuggqB1sYiInIJvKwOAGDDhg3MnDmTli1bXrDdxIkT+fTTT5k1axZNmjThhx9+oH///qxdu5bWrVvb2zVv3pwff/zR/trLyykuU6R8cCijaVJHEXEtlj8xOn36NEOGDGHWrFlUqXLh5QI++eQTJkyYQO/evalXrx4PP/wwvXv35tVXX3Vo5+XlRUhIiH2rXr16aV6CiJzv1DZI3WuW0cJVRhMR12J5YjRixAj69OlD9+7dL9o2MzMTX19fh2N+fn6sWbPG4djevXsJCwujXr16DBkyhNjY2IueNyUlxWETkctkL6P1hgqVrI1FROQSWZoYzZs3j02bNjF16tRite/ZsyfTp09n79695ObmsmzZMhYuXEhCQoK9Tfv27Zk9ezZLly7l3Xff5eDBg3Tp0oXU1NQizzt16lSCgoLsW0RExBVfm0i5ZBgQo9FoIuK6bIZhGFZ8cVxcHO3atWPZsmX2vkU33HADUVFRvP7664V+5tixY9x///18++232Gw26tevT/fu3fnwww/JyMgo9DOnTp0iMjKS6dOnc9999xXaJjMzk8zMTPvrlJQUIiIiSE5OJjBQHUdFiu2vzbC0DXj6woBjUKGi1RGJSDmSkpJCUFDQFf39tuyJ0caNG0lKSqJNmzZ4eXnh5eXFqlWrePPNN/Hy8iInJ6fAZ4KDg1m0aBFpaWnExMSwe/duKlasSL169Yr8nsqVK9OoUSP27dtXZBsfHx8CAwMdNhG5DPYyWh8lRSLikiwbrtWtWze2b9/ucGz48OE0adKEJ598Ek9PzyI/6+vrS3h4ONnZ2Xz55ZcMHFj0I/vTp0+zf/9+7r777hKLXUQKoUkdRcQNWJYYVapUiRYtWjgcCwgIoFq1avbjQ4cOJTw83N4H6ddff+Xw4cNERUVx+PBhJk+eTG5uLuPGjbOfY8yYMfTt25fIyEiOHDnCpEmT8PT0JDo6uuwuTqQ8OrkJTh8ATz8I72N1NCIil8WpJ/iJjY3Fw+Ncte/MmTNMnDiRAwcOULFiRXr37s0nn3xC5cqV7W3i4+OJjo7mxIkTBAcH07lzZ9avX09wcLAFVyBSjuR3ug6/GbwCrI1FROQyWdb52pmVROctkXLFMOCbepB2CDp/rokdRcQSLt35WkTcyF8bzaTI09+cv0hExEUpMRKRKxerMpqIuAen7mPkdnJz4NjPkJEAfqEQ3AU8ih59J+ISNBpNRNyIEqOyErcQNo6E9Phzx/xrQds3IGKAdXGJXKkTGyAtxnxSFHaT1dGIiFwRldLKQtxC+Pl2x6QIIP2weTxuoTVxiZQEexmtL3j5WxuLiMgVUmJU2nJzzCdFFDb4L+/YxlFmOxFXozKaiLgZJUal7djPBZ8UOTAgPc5sJ+JqTvxq/u/XqyKE9rI6GhGRK6bEqLRlJJRsOxFnEnN+Gc3P2lhEREqAEqPS5hdasu1EnIWRC3ELzH2V0UTETSgxKm3BXczRZ9iKaGAD/wiznYgrOf6rWSb2qghhKqOJiHtQYlTaPDzNIflAkclR29c1n5G4nvxO17VuBU9fa2MRESkhSozKQsQA6PIF+IcXfK/lC5rHSFyPkQuxKqOJiPtRYlRWIgbALYeg2wroOBdC8ybCO7LYHPIs4kqOr4OMw1AhEEJ7WB2NiEiJUWJUljw8oeYNUCca2s8CTz84vhbiv7I6MpFLYx+NpjKaiLgXJUZW8Q+HpmPM/c1PQk6WtfGIFNf5o9EiVUYTEfeixMhKTceCbw04vQ/2zbQ6GpHiOfaLOe9WhSAIudHqaERESpQSIytVqARXPWvu75gCWacsDUekWBxGo/lYG4uISAlTYmS1+vdBYFPIPAE7p1kdjciF5eZA3JfmvkajiYgbUmJkNQ8vaP2Sub/7dUiLsTQckQs6rjKaiLg3JUbOIKwP1LgBcjNh69NWRyNStPzRaBH9wdPb2lhEREqBEiNnYLNBm1fM/UNz4K+N1sYjUpjcHIj7wtxXGU1E3JQSI2dRtS3Uucvc3zRGkz6K8zn2M5w5Ct5VoGY3q6MRESkVSoycSavnwcMHklbCke+sjkbEkX00mspoIuK+lBg5k4BIaDLK3N88FnLPWhqOiF3uWY1GE5FyQYmRs2k2HnyqQcpu2P+B1dGImJJWw5kk8K4KIf+wOhoRkVKjxMjZeAdBi0nm/vZ/QXaqtfGIwLkyWkR/8KhgbSwiIqVIiZEzavAgVGxg/hf6rpetjkbKu9yzELfQ3FcZTUTcnBIjZ+TpDa3/be7vegXSD1sbj5RvSasg85hZ4q3Z1epoRERKlRIjZ1WrPwR3gpwM2PaM1dFIeWYfjTZAZTQRcXtKjJyVzQat8yZ9PDAbTm6zNBwpp84fjRapMpqIuL9iJ0Z//fVXacYhhal+bV6fDsMcvi9S1o6uMBc49qluLlsjIuLmip0YhYWFMXjwYJYtW1aa8cjfRU01yxeJ/4MjP1gdjZQ39tFot5kLHouIuLliJ0azZs3i2LFj9OrVizp16jB58mQOHTpUiqEJABXrQcNHzf0tY831qkTKQm62RqOJSLlT7MTo7rvvZvny5ezbt4977rmHjz/+mAYNGnDjjTcyf/58srKySjPO8q3FRKhQGU5th4P/tToaKS8Sf4Ksv8C3BtS4zupoRETKxCV3vq5bty5Tpkzh4MGDLF26lBo1anDvvfcSGhrKY489Vhoxik9VMzkC2DYRzqZZG4+UDw6j0VRGE5Hy4YpGpXXv3p05c+bw3/+aTzHefvvtEglKCtHoUQioAxlHYPdrVkcj7i43G+K/Mvc1Gk1EypHLToxiYmKYPHkydevWZdCgQbRp04Y5c+aUZGxyPk8faDXV3N85DTISrY1H3Fvicsg6aZbRglVGE5Hy45ISo8zMTObOnUv37t2pX78+H330EUOHDmXfvn0sW7aMwYMHl1acAhA5CKpdY5bStk+2OhpxZ/bRaLeDh6e1sYiIlKFiJ0aPPPIIoaGh3HvvvVSrVo0lS5Zw6NAhpkyZQp06dUoxRLE7f9LH/f+B5J3WxiPuKScL4vLKaBqNJiLlTLETozVr1jBp0iQOHz7M/Pnz6dGjBzabrTRjk8LU6AK1+oGRA5uftDoacUeJP0L2KfANgeDOVkcjIlKmij3UZNu2bQ77f/75JwCNGjWiZcuWJR+ZFC1qGhz+Fo4sNmcm1sKeUpLyy2i1VUYTkfLnkvoY/fbbb1x11VW0bt2agQMHMnDgQFq3bk3Lli3ZsGFDacUofxfYGBo8ZO5vGgNGrrXxiPvIyYT4Rea+ymgiUg4VOzHauXMn3bp1w8/Pj08//ZRNmzaxadMmPvnkE3x8fOjWrRs7d6rPS5m5ahJ4VYKTm+DQZ1ZHI+4icRlkJ4NfKAR3sjoaEZEyV+zEaPLkydx44438+uuvREdHExUVRVRUFHfeeSe//fYb3bp1Y/LkyZcdyLRp07DZbIwaNarINtnZ2Tz77LPUr18fX19fWrVqxdKlSwu0e/vtt6lTpw6+vr60b9+e33777bLjclq+wdB8vLm/dQKczbA2HnEPMeeNRrNd0TRnIiIuqdi/+VasWMGECRMK7XBts9mYMGECK1asuKwgNmzYwMyZMy/aV2nixInMnDmTt956i507d/LQQw/Rv39/Nm/ebG8zf/58Ro8ezaRJk9i0aROtWrWiZ8+eJCUlXVZsTq3xKPCvBemx8OebVkcjri4nEw5/be6rjCYi5VSxE6PU1FRq1qxZ5PshISGkpqZecgCnT59myJAhzJo1iypVqlyw7SeffMKECRPo3bs39erV4+GHH6Z37968+uqr9jbTp0/n/vvvZ/jw4TRr1oz33nsPf39/Pvzww0uOzel5+UHLF8z9P16EM8etjUdcW8L/IDsF/MIguKPV0YiIWKLYiVFkZOQFS1K//vorkZGRlxzAiBEj6NOnD927d79o28zMTHx9fR2O+fn5sWbNGgCysrLYuHGjw7k8PDzo3r0769atu+TYXELdu6BKlPkHbcezVkcjrsw+Gu0OldFEpNwq9m+/wYMHM3r0aHbs2FHgve3btzNmzBgGDRp0SV8+b948Nm3axNSpU4vVvmfPnkyfPp29e/eSm5vLsmXLWLhwIQkJCQAcP36cnJycAk+2atasSWJi0UtoZGZmkpKS4rC5DJvHuUkf974LKXutjUdcU84ZiFcZTUSk2InR+PHjqVWrFlFRUdx0002MHj2axx9/nF69etG6dWtCQ0OZMGFCsb84Li6OkSNHMmfOnAJPgYryxhtv0LBhQ5o0aYK3tzePPvoow4cPx8Pjyv7rdurUqQQFBdm3iIiIKzpfmQvpBmG9wTgLW5+yOhpxRQk/wNlUs89a9WutjkZExDLFzih8fX1ZsWIFL7zwAgkJCbz33nvMnDmTxMREnn/+eVatWsW+ffuK/cUbN24kKSmJNm3a4OXlhZeXF6tWreLNN9/Ey8uLnJycAp8JDg5m0aJFpKWlERMTw+7du6lYsSL16tUDoHr16nh6enL06FGHzx09epSQkJAiYxk/fjzJycn2LS4urtjX4TSiXjKfHsUthGO/WB2NuBr7aDSV0USkfLuk34De3t48+eSTbNmyhfT0dNLT01m9ejVVq1alS5cutGrVqtjn6tatG9u3b2fLli32rV27dgwZMoQtW7bg6Vn0jLu+vr6Eh4dz9uxZvvzyS2699VZ7fG3btmX58uX2trm5uSxfvpwOHToUeT4fHx8CAwMdNpdTuTnUu8/c3zQGDMPaeMR1nM2Aw9+Y+5Eqo4lI+VbsJUH+bvXq1XzwwQd8+eWXhIWFMWDAAGbMmFHsz1eqVIkWLVo4HAsICKBatWr240OHDiU8PNzeB+nXX3/l8OHDREVFcfjwYSZPnkxubi7jxo2zn2P06NHcc889tGvXjmuuuYbXX3+dtLQ0hg8ffrmX6jpaToGYuXBiPcR9YXaiFbmYhKVw9jT414Zq7a2ORkTEUpeUGCUmJjJ79mw++OADUlJSGDhwIJmZmSxatIhmzZqVeHCxsbEO/YfOnDnDxIkTOXDgABUrVqR379588sknVK5c2d5m0KBBHDt2jH/9618kJiYSFRXF0qVLLzjVgNvwC4WmY2H7ZNjyFITfAp4+Vkclzi52gflv7dtBC0OLSDlnM4zi1Vz69u3L6tWr6dOnD0OGDKFXr154enpSoUIFtm7dWiqJkVVSUlIICgoiOTnZ9cpqZ9Pg24aQkQBtpkOTx62OSJzZ2QxYGGz+76bHeqiuJ0Yi4rpK4u93sfsYff/999x3331MmTKFPn36XLAPkFjIKwCuypvPaMdzkHXS2njEuSV8byZF/rWh2jVWRyMiYrliJ0Zr1qwhNTWVtm3b0r59e2bMmMHx45pp2SnVGw5BLcykaMcLVkcjzix/NFrkQJXRRES4hMTo2muvZdasWSQkJPDggw8yb948wsLC7BMtXs5yIFJKPDyh9Uvm/p9vwemD1sYjzulsOhz+1tzXpI4iIsAlDtcHc+TYvffey5o1a9i+fTtPPPEE06ZNo0aNGtxyyy2lEaNcjtBeENIdcrNga/En3pRy5MgSyEmHgDpQtZ3V0YiIOIUrmsmtcePGvPTSS8THx/PZZ5+VVExSEmw2aP0yYIOYeXC86HXupJyyr42mMpqISL4SmeLW09OTfv368c0335TE6aSkVImCukPN/c2a9FHOczYNDi829zWpo4iIneb+d3etngdPXzj287nZjUUOfwc5GVCxHlRpY3U0IiJOQ4mRu/OvBU1Gm/ubx0FutrXxiHOwT+p4h8poIiLnUWJUHjR7EnyCIfVP2Pe+1dGI1bJPw5HvzH2NRhMRcaDEqDyoEAhXTTb3t0+GrGQroxGrHckvo9WHKq2tjkZExKkoMSovGtwPgY0h8zjs/LfV0YiVNBpNRKRISozKC48KEJWXEO15DdLirI1HrJGdas5fBBqNJiJSCCVG5Un4LVDjOsg5A9smWh2NWOHwYvP+V2oIlVtZHY2IiNNRYlSe2GzQ+hVz/+An8Ndma+ORsqcymojIBSkxKm+qXQ2R0YChSR/Lm+wUOPK9ua/RaCIihVJiVB61ehE8vOHoT+f+UIr7i/8WcjPNTviVr7I6GhERp6TEqDyqWAcaP2bubxkLuWctDUfKSFzepI4RmtRRRKQoSozKq+YTwLsqJO+EAx9ZHY2UtvPLaBqNJiJSJCVG5ZV3FWjxjLm/7V/mbMjivuK/gdwsCGwCQS2sjkZExGkpMSrPGj5izn58JhF2vWJ1NFKaNBpNRKRYlBiVZ57eEDXN3N/1MmQkWBuPlI6sU5Dwg7mv0WgiIhekxKi8i7gNqneAnHSzpCbuJ7+MFtQMKje3OhoREaemxKi8O3/SxwMfwqkd1sYjJe/8MpqIiFyQEiOB4I7mkyMjFzaPszoaKUlZJyHxf+Z+7TusjUVExAUoMRJT1DSweUHC95D4o9XRSEmJ/xpys82RaEHNrI5GRMTpKTESU6UG5ig1gE1jIDfH2nikZMTmTeqop0UiIsWixEjOafEMVAiCU1vh0KdWRyNXKuskJKiMJiJyKZQYyTm+1c0ZsQG2TYSz6dbGI1cmbhEYZ8110YKaWh2NiIhLUGIkjho/Bv61IT0e9rxudTRyJTQaTUTkkikxEkeevhA11dz/YxqcSbI2Hrk8mSfOdaJXGU1EpNiUGElBkYOhals4mwrbp1gdjVyO+EV5ZbRWENjY6mhERFyGEiMpyOZxbtLHfTMhZY+18cili8kro0WqjCYicimUGEnhat4A4X3ByIEtT1odjVyKM8fh6HJzP0JlNBGRS6HESIoW9W+weZqTBCattjoaKa74RWZCW6U1BDa0OhoREZeixEiKFtQU6t9v7m8aYy4ZIs7PPhpNT4tERC6VEiO5sKsmg1dF+GsDxMy3Ohq5mDPH4OhP5r4SIxGRS6bESC7MryY0e8rc3zoecs5YG49cWPxXeWW0NuYyLyIickmUGMnFNXkc/MIhLQb+nGF1NHIhGo0mInJFlBjJxXn5Q6vnzf0dL5iTB4rzOZMESSvMfZXRREQuixIjKZ46d0PllpB9CnY8b3U0Upi4hWYH+artoGI9q6MREXFJSoykeDw8z036uPdtSN1vbTxSkNZGExG5YkqMpPhCb4TQnpCbbXbEFueRcRSSVpn7KqOJiFw2JUZyaVq/bC4ZErsAjq2zOhrJF59fRrsaKtaxOhoREZelxEguTeWroO4wc3/zGDAMS8ORPBqNJiJSIpwmMZo2bRo2m41Ro0ZdsN3rr79O48aN8fPzIyIigscff5wzZ87NrTN58mRsNpvD1qRJk1KOvpxp+Sx4+sPxtWaHX7FWRqLKaCIiJcTL6gAANmzYwMyZM2nZsuUF282dO5ennnqKDz/8kI4dO/Lnn38ybNgwbDYb06dPt7dr3rw5P/74o/21l5dTXKb78A+HpmNgx7Ow5SlzsVlPb6ujKr/ivgQMqNYeAiKtjkZExKVZ/sTo9OnTDBkyhFmzZlGlSpULtl27di2dOnXizjvvpE6dOvTo0YPo6Gh+++03h3ZeXl6EhITYt+rVq5fmJZRPTceCb004vQ/2vWd1NOWbRqOJiJQYyxOjESNG0KdPH7p3737Rth07dmTjxo32ROjAgQMsWbKE3r17O7Tbu3cvYWFh1KtXjyFDhhAbG3vB82ZmZpKSkuKwyUVUqGiW1MB8cpR1ytJwyq30I5D0s7lf+3ZrYxERcQOWJkbz5s1j06ZNTJ06tVjt77zzTp599lk6d+5MhQoVqF+/PjfccAMTJkywt2nfvj2zZ89m6dKlvPvuuxw8eJAuXbqQmppa5HmnTp1KUFCQfYuIiLjiaysX6t0LgU3NmbD/KN49lBKWX0ar3gECalsdjYiIy7MsMYqLi2PkyJHMmTMHX1/fYn1m5cqVvPjii7zzzjts2rSJhQsX8t133/Hcc8/Z29x0003ccccdtGzZkp49e7JkyRJOnTrF559/XuR5x48fT3Jysn2Li4u74usrFzy8zOH7AHveMNdSk7KlMpqISImyGYY1460XLVpE//798fT0tB/LycnBZrPh4eFBZmamw3sAXbp04dprr+Xll1+2H/v000954IEHOH36NB4ehed5V199Nd27dy/2k6mUlBSCgoJITk4mMDDwMq6uHDEM+KkbHF0BdYZAx0+tjqj8SD8Mi2qZ+/3iwL+WtfGIiFisJP5+W/bEqFu3bmzfvp0tW7bYt3bt2jFkyBC2bNlSICkCSE9PL5D85LcrKr87ffo0+/fvJzQ0tOQvQsBmO7dUyKE5cOJ3a+MpT+K+NP+t3lFJkYhICbFsHHulSpVo0aKFw7GAgACqVatmPz506FDCw8PtT3r69u3L9OnTad26Ne3bt2ffvn0888wz9O3b154gjRkzhr59+xIZGcmRI0eYNGkSnp6eREdHl+0FlidV25iLzB76BDaPhW4/mQmTlC6V0URESpxTT/ATGxvr8IRo4sSJ2Gw2Jk6cyOHDhwkODqZv37688MIL9jbx8fFER0dz4sQJgoOD6dy5M+vXryc4ONiKSyg/Wj1v/qFOWgmHF0OtvlZH5N7S4+HYL+a+RqOJiJQYy/oYOTP1MbpMW8bDzmkQ2AR6bzc7Z0vp2P06bHocgjvDjT9bHY2IiFNw6T5G4oaaPQU+1SFlN+z/j9XRuDeV0URESoUSIyk53kHQYpK5v30SZBc9d5RcgbRYOL4OsEHEbVZHIyLiVpQYSclq+CBUaghnkmDnS1ZH455ivzD/rdEF/MOsjUVExM0oMZKS5VEBov5t7u9+1ZxrR0qWymgiIqVGiZGUvFr9zE7BORmw7Rmro3EvaTFw4ldURhMRKR1KjKTknT/p44HZcHKrpeG4FXsZ7TrwC7E2FhERN6TESEpH9fZQexBgwOZxVkfjPlRGExEpVUqMpPREvWj2OUr8Hxz5wepoXN/pQ3DiN7B5QMQAq6MREXFLSoyk9FSsB43+z9zfMhZyc6yNx9XFLjD/rXG9ymgiIqVEiZGUruZPQ4XKcGo7HPzY6mhcm8poIiKlTomRlC6fqtAib2TatmfgbJq18biq0wfgr99VRhMRKWVKjKT0NRoBAXUh4wjsmm51NK7JXkbrCr41rI1FRMSNKTGS0ufpA1FTzf1d/4aMRGvjcUUxeWW0SJXRRERKkxIjKRu1B0K19mYpbftkq6NxLan74eQmsHlCrf5WRyMi4taUGEnZOH/Sx/2zIHmntfG4kvwyWs2u4BtsbSwiIm5OiZGUnRqdzSceRi5sftLqaFyHRqOJiJQZJUZStqKmgc0LjiyGoyusjsb5peyFk5tVRhMRKSNKjKRsBTaChg+Z+5vGmE+PpGhx+WW0buBb3dpYRETKASVGUvZa/AsqBJodig/NtToa56bRaCIiZUqJkZQ932BoNt7c3zoBzmZYG4+zStkDp7aapcda/ayORkSkXFBiJNZoPBL8IyA9Dv580+ponFP+aLSQ7uBTzdpYRETKCSVGYg0vP2j1grn/x4tw5pi18TgjjUYTESlzSozEOnWGQJXWkJ0CO56zOhrnkrzbXHjXowJE9LM6GhGRckOJkVjH5nFu0se970LKn9bG40zskzp2B+8q1sYiIlKOKDESa4X8A8L6gHEWto63OhrnEavRaCIiVlBiJNZr/ZL59ChuISStsToa6yXvhOQdZhmt1q1WRyMiUq4oMRLrBTWD+v809zePAcOwNh6r2Uej9VAZTUSkjCkxEudw1RTwCoATv55LDMorjUYTEbGMEiNxDn4h0HScub/lKcjJtDYeq5z6wyyleXhDrVusjkZEpNxRYiTOo+kT4BcKaQdh7ztWR2ON/KdFoT3Bu7KloYiIlEdKjMR5eAVAy7z5jHY8B1knrY2nrBmGymgiIhZTYiTOpe4wCGphJkU7XrA6mrKV/Aek7AYPH5XRREQsosRInIuHJ7R+2dz/8y04fdDaeMrS+WW0CoHWxiIiUk4pMRLnE9oTQm6E3CzYOsHqaMqGymgiIk5BiZE4H5st76mRDWLmwfHfrI6o9J3aDil78spofa2ORkSk3FJiJM6pSiuod4+5Xx4mfcx/WhR2k8poIiIWUmIkzqvlc+DpB8d+hvivrY6m9KiMJiLiNJQYifPyrwVNRpv7W8ZBbra18ZSWU1shdS94+kL4zVZHIyJSrikxEufW7EnwrWEmDvvetzqa0hGTX0brDRUqWRuLiEg5p8RInFuFSnDVZHN/+2TISrYympKnMpqIiFNRYiTOr/4/IbAJZB6Hnf+2OpqSdXILnN5v9qUK62N1NCIi5Z4SI3F+HhUgKi8h2vMapMVZG09Jij2/jFbR2lhERESJkbiI8L5Q43rIOQPbJlodTclQGU1ExOkoMRLXYLNB61fM/YOfwF+brI2nJJzcBKcPmGW0cJXRREScgdMkRtOmTcNmszFq1KgLtnv99ddp3Lgxfn5+RERE8Pjjj3PmzBmHNm+//TZ16tTB19eX9u3b89tv5WDm5PKgWjuIvBMwYPNY15/0MX80WvjN4BVgbSwiIgI4SWK0YcMGZs6cScuWLS/Ybu7cuTz11FNMmjSJXbt28cEHHzB//nwmTDi3ntb8+fMZPXo0kyZNYtOmTbRq1YqePXuSlJRU2pchZaHVC+ayGUd/giPfWx3N5VMZTUTEKVmeGJ0+fZohQ4Ywa9YsqlSpcsG2a9eupVOnTtx5553UqVOHHj16EB0d7fBEaPr06dx///0MHz6cZs2a8d577+Hv78+HH35Y2pciZaFiHWj8mLm/ZSzknrU0nMv21++Qdgg8/c2O1yIi4hQsT4xGjBhBnz596N69+0XbduzYkY0bN9oToQMHDrBkyRJ69zb/sGRlZbFx40aHc3l4eNC9e3fWrVtX5HkzMzNJSUlx2MSJNZ8A3lUheScc+MjqaC5P/tOi8L7g5W9tLCIiYudl5ZfPmzePTZs2sWHDhmK1v/POOzl+/DidO3fGMAzOnj3LQw89ZC+lHT9+nJycHGrWrOnwuZo1a7J79+4izzt16lSmTJly+RciZcu7MrT4F2waBduegcho1xrqbhgQu8Dcj1QZTUTEmVj2xCguLo6RI0cyZ84cfH19i/WZlStX8uKLL/LOO++wadMmFi5cyHfffcdzzz13RbGMHz+e5ORk+xYX50bz5Lirhg9Dxfpw5ijsesXqaC7NiQ2QFmN2uA69yepoRETkPJY9Mdq4cSNJSUm0adPGfiwnJ4fVq1czY8YMMjMz8fT0dPjMM888w913380///lPAK666irS0tJ44IEHePrpp6levTqenp4cPXrU4XNHjx4lJCSkyFh8fHzw8fEpwauTUufpDVHTYM0dsOtlaPAA+IdZHVXxOJTR/KyNRUREHFj2xKhbt25s376dLVu22Ld27doxZMgQtmzZUiApAkhPT8fDwzHk/HaGYeDt7U3btm1Zvny5/f3c3FyWL19Ohw4dSveCpOxF3AbVO0BOOmyfZHU0xaPRaCIiTs2yJ0aVKlWiRYsWDscCAgKoVq2a/fjQoUMJDw9n6tSpAPTt25fp06fTunVr2rdvz759+3jmmWfo27evPUEaPXo099xzD+3ateOaa67h9ddfJy0tjeHDh5ftBUrps9mg9auwrCMc+NAcrVb5KqujurATv0J6HHhVhNBeVkcjIiJ/Y2nn64uJjY11eEI0ceJEbDYbEydO5PDhwwQHB9O3b19eeOEFe5tBgwZx7Ngx/vWvf5GYmEhUVBRLly4t0CFb3ERwB4i4HeK+gM3joKuTz21kn9TxFpXRRESckM0wXH364JKXkpJCUFAQycnJBAYGWh2OXEzqPviuGeRmQ9f/QeiNVkdUOCMXvo6E9Hi4bhHUutXqiERE3EpJ/P22fB4jkStWqQE0fMTc3zwWcnOsjacox9ebSZFXJQjtaXU0IiJSCCVG4h5aPAMVguDUVjj0qdXRFC6/03WtW8GzeFNUiIhI2VJiJO7Bpxo0f9rc3/o0nE23Np6/M3Ih9gtzX6PRRESclhIjcR+N/w8CIiHjMOx53epoHB1fZ8ZVIRBCe1gdjYiIFEGJkbgPT19oZU7twB/T4EyStfGczz4a7Vbw1GSiIiLOSomRuJfIQVC1HZxNhe1Osv6dkQtxWhtNRMQVKDES92LzgNZ5a6ftmwnJRS8eXGaO/QIZCWbn8BAnnUpAREQAJUbijmpeb06gaOTAlietjua80Wj9VEYTEXFySozEPUX9G2yecPgbOLrKujhyczQaTUTEhSgxEvcU1AQaPGDubx5j9vOxwrE1cCYRKlSGkO7WxCAiIsWmxEjc11WTzVmm//odYuZbE0N+GS2iP3h6WxODiIgUmxIjcV++NaBZXh+jreMh50zZfn9uDsR9ae6rjCYi4hKUGIl7a/I4+IVDWgz8OaNsv/vYz3DmKHhXgZBuZfvdIiJyWZQYiXvz8odWL5j7O56HzBNl99320Wj9waNC2X2viIhcNiVG4v7q3AWVW0F2Mux4rmy+M/esymgiIi5IiZG4Pw9PaJM36ePedyB1X+l/Z9Jqc0kS76oQ8o/S/z4RESkRSoykfAjpDqG9IDcbtowv/e+zj0YboDKaiIgLUWIk5Ufrl80lQ+K+gGPrSu97VEYTEXFZSoyk/KjcAuoNN/c3PwGGUTrfk7QSMo+DTzWo2bV0vkNEREqFEiMpX656Fjz94fg6iFtYOt8Rk19Guw08vErnO0REpFQoMZLyxT8Mmo4197c8CTlZJXv+3LMQn5dwqYwmIuJylBhJ+dN0DPiGwOn9sO+9kj330RXmXEk+wVDj+pI9t4iIlDolRlL+VKgILZ8197dPgaxTJXduh9FoKqOJiLgaJUZSPtUbDkHNIOsv+OPFkjlnbva5fksqo4mIuCQlRlI+eXhB1Mvm/p434fShKz9n4k9mouVbA2pcd+XnExGRMqfESMqvsJug5j8gNxO2Pn3l54vVaDQREVenxEjKL5sNWr8C2CBmLpz4/fLPlZMF8V+Z+yqjiYi4LCVGUr5VbQ117zb3N4+5/Ekfjy6HrJPgWxOCu5RcfCIiUqaUGIm0fB48fSFpFRxefHnniF1g/htxu7lorYiIuCQlRiIBEdD4cXN/yzhzksZLkZMFcXlltEiV0UREXJkSIxGAZk+CT3VI2Q37/3Npn038EbJPmZNGVu9UKuGJiEjZUGIkAuAdBFdNNve3T4LslOJ/Nn80Wm2V0UREXJ0SI5F8DR6ASo3gTBLsfKl4n8nJhPhF5r5Go4mIuDwlRiL5PCpA1L/N/d3TIT3+4p9JXAbZyeAXCsEqo4mIuDolRiLnq3UrBHeGnAzY9szF28fkT+p4B9j0fycREVen3+Qi57NP+ggc+BhObi26bc4ZOPy1ua/RaCIibkGJkcjfVW8PkYMBAzaPLbpdwv/MTtp+4VC9Q5mFJyIipUeJkUhhWr0IHt5mH6IjPxTeJn9Sx9oqo4mIuAv9NhcpTMW60Oj/zP3NYyA3x/H9nDMQn1dG02g0ERG3ocRIpCgtngbvKpC8Aw5+7Phewg9wNhX8a5mlNxERcQtKjESK4l0FWuSNTNs2Ec6mnXtPo9FERNySfqOLXEjDRyCgLmQkwK5XzWNnM+DwN+a+RqOJiLgVJUYiF+LpA1HTzP2d/4bYhbD1aTh7GvwioJrKaCIi7sRpEqNp06Zhs9kYNWpUkW1uuOEGbDZbga1Pnz72NsOGDSvwfq9evcrgCsRt1b4DKjaEnHRYcxvsec08nn0S4r+yNjYRESlRXlYHALBhwwZmzpxJy5YtL9hu4cKFZGVl2V+fOHGCVq1acccddzi069WrFx999JH9tY+PT8kGLOVL/Fdwem/B42dPw8+3Q5cvIGJA2cclIiIlzvInRqdPn2bIkCHMmjWLKlWqXLBt1apVCQkJsW/Lli3D39+/QGLk4+Pj0O5i5xUpUm4ObBx54TYbRxUczi8iIi7J8sRoxIgR9OnTh+7du1/yZz/44AMGDx5MQECAw/GVK1dSo0YNGjduzMMPP8yJEycueJ7MzExSUlIcNhEAjv18kcVkDUiPM9uJiIjLs7SUNm/ePDZt2sSGDRsu+bO//fYbO3bs4IMPPnA43qtXLwYMGEDdunXZv38/EyZM4KabbmLdunV4enoWeq6pU6cyZcqUy7oGcXMZCSXbTkREnJpliVFcXBwjR45k2bJl+Pr6XvLnP/jgA6666iquueYah+ODBw+271911VW0bNmS+vXrs3LlSrp161boucaPH8/o0aPtr1NSUoiIiLjkmMQN+YWWbDsREXFqlpXSNm7cSFJSEm3atMHLywsvLy9WrVrFm2++iZeXFzk5RffZSEtLY968edx3330X/Z569epRvXp19u3bV2QbHx8fAgMDHTYRAIK7mLNbYyuigQ38I8x2IiLi8ix7YtStWze2b9/ucGz48OE0adKEJ598ssiyF8CCBQvIzMzkrrvuuuj3xMfHc+LECUJD9V/0chk8PKHtG+boM2yAcd6beclS29fNdiIi4vIsS4wqVapEixYtHI4FBARQrVo1+/GhQ4cSHh7O1KlTHdp98MEH9OvXj2rVqjkcP336NFOmTOG2224jJCSE/fv3M27cOBo0aEDPnj1L94LEfUUMMIfkbxzp2BHbv5aZFGmovoiI23CKeYyKEhsbi4eHY7Vvz549rFmzhv/9738F2nt6erJt2zY+/vhjTp06RVhYGD169OC5557TXEZyZSIGQPit5uizjASzT1FwFz0pEhFxMzbDMIyLNytfUlJSCAoKIjk5Wf2NREREXERJ/P22fB4jEREREWehxEhEREQkjxIjERERkTxKjERERETyKDESERERyaPESERERCSPEiMRERGRPEqMRERERPIoMRIRERHJ49RLglglfzLwlJQUiyMRERGR4sr/u30li3ooMSpEamoqABERERZHIiIiIpcqNTWVoKCgy/qs1korRG5uLkeOHKFSpUrYbLYSPXdKSgoRERHExcVpHTYXpPvn+nQPXZ/uoWsrzftnGAapqamEhYUVWIS+uPTEqBAeHh7UqlWrVL8jMDBQ/4d2Ybp/rk/30PXpHrq20rp/l/ukKJ86X4uIiIjkUWIkIiIikkeJURnz8fFh0qRJ+Pj4WB2KXAbdP9ene+j6dA9dm7PfP3W+FhEREcmjJ0YiIiIieZQYiYiIiORRYiQiIiKSR4mRiIiISB4lRsDUqVO5+uqrqVSpEjVq1KBfv37s2bPHoc2ZM2cYMWIE1apVo2LFitx2220cPXrUoc1jjz1G27Zt8fHxISoqqtDv+vzzz4mKisLf35/IyEhefvnli8b3xx9/cNttt1GnTh1sNhuvv/56oe3efvtt6tSpg6+vL+3bt+e3334r1vW7One4f6tXr6Zv376EhYVhs9lYtGhRcS/fLbjDPSzONbizkriHW7duJTo6moiICPz8/GjatClvvPFGge9auXIlbdq0wcfHhwYNGjB79uyLxmcYBv/6178IDQ3Fz8+P7t27s3fvXoc2L7zwAh07dsTf35/KlStf1s/Blbn6PTx06BD33XcfdevWxc/Pj/r16zNp0iSysrIu6eegxAhYtWoVI0aMYP369Sxbtozs7Gx69OhBWlqavc3jjz/Ot99+y4IFC1i1ahVHjhxhwIABBc517733MmjQoEK/5/vvv2fIkCE89NBD7Nixg3feeYfXXnuNGTNmXDC+9PR06tWrx7Rp0wgJCSm0zfz58xk9ejSTJk1i06ZNtGrVip49e5KUlHQJPwnX5A73Ly0tjVatWvH2229fwpW7D3e4h8W5BndWEvdw48aN1KhRg08//ZQ//viDp59+mvHjxzvcn4MHD9KnTx+6du3Kli1bGDVqFP/85z/54YcfLhjfSy+9xJtvvsl7773Hr7/+SkBAAD179uTMmTP2NllZWdxxxx08/PDDJfiTcR2ufg93795Nbm4uM2fO5I8//uC1117jvffeY8KECZf2gzCkgKSkJAMwVq1aZRiGYZw6dcqoUKGCsWDBAnubXbt2GYCxbt26Ap+fNGmS0apVqwLHo6Ojjdtvv93h2JtvvmnUqlXLyM3NLVZskZGRxmuvvVbg+DXXXGOMGDHC/jonJ8cICwszpk6dWqzzuhNXvH/nA4yvvvqqWOdzV65+Dwu7hvLmSu9hvkceecTo2rWr/fW4ceOM5s2bO7QZNGiQ0bNnzyLPkZuba4SEhBgvv/yy/dipU6cMHx8f47PPPivQ/qOPPjKCgoIueo3uzpXvYb6XXnrJqFu3btEXWQg9MSpEcnIyAFWrVgXMDDg7O5vu3bvb2zRp0oTatWuzbt26Yp83MzMTX19fh2N+fn7Ex8cTExNz2fFmZWWxceNGh/g8PDzo3r37JcXnLlzt/klB7nAP/34N5U1J3cPk5GSHn+G6desczgHQs2fPC57j4MGDJCYmOnwuKCiI9u3bl8vfkcXlDvfw799dHEqM/iY3N5dRo0bRqVMnWrRoAUBiYiLe3t4Fas41a9YkMTGx2Ofu2bMnCxcuZPny5eTm5vLnn3/y6quvApCQkHDZMR8/fpycnBxq1qx5RfG5A1e8f+LIHe5hYddQnpTUPVy7di3z58/ngQcesB9LTEws9HddSkoKGRkZhZ4n//z6HVl87nAP9+3bx1tvvcWDDz5Y9IUWQonR34wYMYIdO3Ywb968Ej/3/fffz6OPPsrNN9+Mt7c31157LYMHDwbMJzyxsbFUrFjRvr344oslHoO70/1zfe5wD0vzGlxBSVz/jh07uPXWW5k0aRI9evQo9ufmzJnjcA9//vnny46hPHP1e3j48GF69erFHXfcwf33339Jn/W65G9zY48++iiLFy9m9erV1KpVy348JCSErKwsTp065ZApHz16tMiOmIWx2Wz8+9//5sUXXyQxMZHg4GCWL18OQL169ahSpQpbtmyxty/u47/q1avj6elZYITOpcbn6lz1/sk57nAPi7qG8qIk7uHOnTvp1q0bDzzwABMnTnR4LyQkpNDfdYGBgfj5+XHLLbfQvn17+3vh4eH2p4FHjx4lNDTU4XNFjV4sz1z9Hh45coSuXbvSsWNH3n///Uv/AVxSjyQ3lZuba4wYMcIICwsz/vzzzwLv53c4++KLL+zHdu/efckdPwtz9913Gx06dCh2rBfqfP3oo4/aX+fk5Bjh4eHlovO1O9y/81EOO1+7wz282DW4u5K6hzt27DBq1KhhjB07ttDvGTdunNGiRQuHY9HR0cXquPvKK6/YjyUnJ6vz9d+4wz2Mj483GjZsaAwePNg4e/bsxS+6EEqMDMN4+OGHjaCgIGPlypVGQkKCfUtPT7e3eeihh4zatWsbP/30k/H7778bHTp0KPDLdO/evcbmzZuNBx980GjUqJGxefNmY/PmzUZmZqZhGIZx7Ngx49133zV27dplbN682XjssccMX19f49dff71gfJmZmfZzhYaGGmPGjDE2b95s7N27195m3rx5ho+PjzF79mxj586dxgMPPGBUrlzZSExMLMGflHNyh/uXmppqbwMY06dPNzZv3mzExMSU4E/KebnDPSzONbizkriH27dvN4KDg4277rrL4RxJSUn2NgcOHDD8/f2NsWPHGrt27TLefvttw9PT01i6dOkF45s2bZpRuXJl4+uvvza2bdtm3HrrrUbdunWNjIwMe5uYmBhj8+bNxpQpU4yKFSva73lqamoJ/qScl6vfw/j4eKNBgwZGt27djPj4eIfvvxRKjAzzv9AL2z766CN7m4yMDOORRx4xqlSpYvj7+xv9+/cv8MO+/vrrCz3PwYMHDcMwfylfe+21RkBAgOHv729069bNWL9+/UXjO3jwYKHnvf766x3avfXWW0bt2rUNb29v45prrinWud2BO9y/FStWFNrmnnvuKYGfkPNzh3tYnGtwZyVxDydNmlToOSIjIx2+a8WKFUZUVJTh7e1t1KtXr1g/49zcXOOZZ54xatasafj4+BjdunUz9uzZ49DmnnvuKfT7V6xYcQU/Gdfh6vfwo48+KvIaLoUt74chIiIiUu5pVJqIiIhIHiVGIiIiInmUGImIiIjkUWIkIiIikkeJkYiIiEgeJUYiIiIieZQYiYiIiORRYiQiUkw2m41FixZZHYaIlCIlRiLi9IYNG4bNZuOhhx4q8N6IESOw2WwMGzasxL5v8uTJWlxUpJxSYiQiLiEiIoJ58+aRkZFhP3bmzBnmzp1L7dq1LYxMRNyJEiMRcQlt2rQhIiKChQsX2o8tXLiQ2rVr07p1a/uxzMxMHnvsMWrUqIGvry+dO3dmw4YN9vdXrlyJzWZj+fLltGvXDn9/fzp27MiePXsAmD17NlOmTGHr1q3YbDZsNhuzZ8+2f/748eP0798ff39/GjZsyDfffFP6Fy8iZUaJkYi4jHvvvZePPvrI/vrDDz9k+PDhDm3GjRvHl19+yccff8ymTZto0KABPXv25K+//nJo9/TTT/Pqq6/y+++/4+Xlxb333gvAoEGDeOKJJ2jevDkJCQkkJCQwaNAg++emTJnCwIED2bZtG71792bIkCEFzi0irkuJkYi4jLvuuos1a9YQExNDTEwMv/zyC3fddZf9/bS0NN59911efvllbrrpJpo1a8asWbPw8/Pjgw8+cDjXCy+8wPXXX0+zZs146qmnWLt2LWfOnMHPz4+KFSvi5eVFSEgIISEh+Pn52T83bNgwoqOjadCgAS+++CKnT5/mt99+K7OfgYiULi+rAxARKa7g4GD69OnD7NmzMQyDPn36UL16dfv7+/fvJzs7m06dOtmPVahQgWuuuYZdu3Y5nKtly5b2/dDQUACSkpIu2l/p/M8FBAQQGBhIUlLSFV2XiDgPJUYi4lLuvfdeHn30UQDefvvtyz5PhQoV7Ps2mw2A3NzcS/pc/meL8zkRcQ0qpYmIS+nVqxdZWVlkZ2fTs2dPh/fq16+Pt7c3v/zyi/1YdnY2GzZsoFmzZsX+Dm9vb3JyckosZhFxHXpiJCIuxdPT014W8/T0dHgvICCAhx9+mLFjx1K1alVq167NSy+9RHp6Ovfdd1+xv6NOnTocPHiQLVu2UKtWLSpVqoSPj0+JXoeIOCclRiLicgIDA4t8b9q0aeTm5nL33XeTmppKu3bt+OGHH6hSpUqxz3/bbbexcOFCunbtyqlTp/joo49KdAJJEXFeNsMwDKuDEBEREXEG6mMkIiIikkeJkYiIiEgeJUYiIiIieZQYiYiIiORRYiQiIiKSR4mRiIiISB4lRiIiIiJ5lBiJiIiI5FFiJCIiIpJHiZGIiIhIHiVGIiIiInmUGImIiIjk+X9GeCsPnaazIgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# === 每月平均客单价 / Monthly AOV ====================================\n",
    "plt.figure()\n",
    "plt.plot(monthly_kpi.index.astype(str), monthly_kpi['aov'], marker='o', color='orange')\n",
    "plt.title('Monthly AOV Trend')\n",
    "plt.xlabel('Month')\n",
    "plt.ylabel('AOV')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bfd4067d",
   "metadata": {
    "papermill": {
     "duration": 0.014762,
     "end_time": "2025-07-29T07:28:40.657495",
     "exception": false,
     "start_time": "2025-07-29T07:28:40.642733",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "### 洞察（客单价 AOV）\n",
    "\n",
    "1. **总体稳定在≈ 5 元区间**\n",
    "\n",
    "   * 10 月‑2 月 AOV 变化范围仅 4.75–5.05，波动＜ 6 %。\n",
    "2. **11 月 AOV 小幅下探至 4.75**\n",
    "\n",
    "   * 与黑五大促的普遍折扣相符；12 月即反弹至 5.05，说明降价影响短暂。\n",
    "3. **AOV 走势对 GMV 影响有限**\n",
    "\n",
    "   * 12 月 GMV 暴跌时 AOV 反而升高，进一步证明 GMV 下滑主要由浏览量不足，而非客单价下降导致。\n",
    "\n",
    "---\n",
    "\n",
    "### Insights (Average Order Value)\n",
    "\n",
    "1. **Overall stable around ≈ 5**\n",
    "\n",
    "   * AOV ranges 4.75–5.05 from Oct to Feb, < 6 % variance.\n",
    "2. **Slight dip to 4.75 in Nov**\n",
    "\n",
    "   * Consistent with Black‑Friday discounts; rebounds to 5.05 in Dec, indicating the price cut was short‑lived.\n",
    "3. **AOV not a key GMV driver**\n",
    "\n",
    "   * GMV plunges in Dec while AOV rises, confirming the decline was traffic‑driven rather than ticket‑size‑driven.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "db5259c4",
   "metadata": {
    "papermill": {
     "duration": 0.015258,
     "end_time": "2025-07-29T07:28:40.686640",
     "exception": false,
     "start_time": "2025-07-29T07:28:40.671382",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## 3.4 结论 / Summary  \n",
    "\n",
    "- 12 月 GMV 环比 ‑30 % 的主要原因是浏览量下降 16 %，而转化率和 AOV 保持正常波动。  \n",
    "- 造成流量下滑的关键事件是 11 月黑五大促：需求被前置，12 月进入“淡季”。  \n",
    "- 1 月 GMV 与流量同步回升，进一步验证这是季节性波动。\n",
    "\n",
    "\n",
    "> **结论**：12 月 GMV 暴降属于 **可预期的促销季后效应**，不构成业务异常；后续应关注大型活动后的流量空窗期，并在淡季通过再营销或新品补量。\n",
    "\n",
    "--- \n",
    " \n",
    "- December GMV fell 30 % MoM mainly because views dropped 16 %; conversion rates and AOV stayed within normal ranges.  \n",
    "- The traffic dip follows November’s Black Friday spike—demand was simply pulled forward.  \n",
    "- GMV rebounds in January alongside traffic, confirming a seasonal pattern rather than an operational anomaly.\n",
    "\n",
    "> **Conclusion**: The December drop is a predictable post‑promotion effect; focus on mitigating the post‑campaign traffic lull through remarketing and product refresh."
   ]
  }
 ],
 "metadata": {
  "kaggle": {
   "accelerator": "none",
   "dataSources": [
    {
     "datasetId": 426888,
     "sourceId": 1015349,
     "sourceType": "datasetVersion"
    }
   ],
   "dockerImageVersionId": 31089,
   "isGpuEnabled": false,
   "isInternetEnabled": true,
   "language": "python",
   "sourceType": "notebook"
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.13"
  },
  "papermill": {
   "default_parameters": {},
   "duration": 404.541094,
   "end_time": "2025-07-29T07:28:42.832810",
   "environment_variables": {},
   "exception": null,
   "input_path": "__notebook__.ipynb",
   "output_path": "__notebook__.ipynb",
   "parameters": {},
   "start_time": "2025-07-29T07:21:58.291716",
   "version": "2.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
